DOCSLIB.ORG

Thermo-Convective Instability in a Rotating Ferromagnetic Fluid Layer

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Thermo-Convective Instability in a Rotating Ferromagnetic Fluid Layer Open Phys. 2018; 16:868–888 Research Article Precious Sibanda* and Osman Adam Ibrahim Noreldin Thermo-convective instability in a rotating ferromagnetic fluid layer with temperature modulation https://doi.org/10.1515/phys-2018-0109 Received Dec 18, 2017; accepted Sep 27, 2018 1 Introduction Abstract: We study the thermoconvective instability in a Ferromagnetic fluids are colloids consisting of nanometer- rotating ferromagnetic fluid confined between two parallel sized magnetic particles suspended in a fluid carrier. The infinite plates with temperature modulation at the bound- magnetization of a ferromagnetic fluid depends on the aries. We use weakly nonlinear stability theory to ana- temperature, the magnetic field, and the density of the lyze the stationary convection in terms of critical Rayleigh fluid. The magnetic force and the thermal state of the fluid numbers. The influence of parameters such as the Taylor may give rise to convection currents. Studies on the flow number, the ratio of the magnetic force to the buoyancy of ferromagnetic fluids include, for example, Finalyson [1] force and the magnetization on the flow behaviour and who studied instabilities in a ferromagnetic fluid using structure are investigated. The heat transfer coefficient is free-free and rigid-rigid boundaries conditions. He used analyzed for both the in-phase and the out-of-phase mod- the linear stability theory to predict the critical Rayleigh ulations. A truncated Fourier series is used to obtain a number for the onset of instability when both a magnetic set of ordinary differential equations for the time evolu- and a buoyancy force are present. The generalization of tion of the amplitude of convection for the ferromagnetic Rayleigh Benard convection under various assumption is fluid flow. The system of differential equations is solved reported by Chandrasekhar [2]. In the last few decades the using a recent multi-domain spectral collocation method study of heat transfer in ferromagnetic fluids has attracted that has not been fully tested on such systems before. The many researchers due to the potential application of these solutions sets are presented as sets of trajectories in the fluids in industry, such as in the sealing of rotating shafts, phase plane. For some supercritical values of the Rayleigh ink, and so on. An authoritative introduction to research number, spiralling trajectories that transition to chaotic on magnetic fluids is given by Rosensweig [3]. solutions are obtained. Additional results are presented in Schwab et al. [4] studied the Finlayson problem exper- terms of streamlines and isotherms for various Rayleigh imentally in the case of a strong magnetic field and deter- numbers. mined the parameters for the onset of convection. Their results were shown to be in good agreement with those Keywords: Thermal instability, Ferromagnetic Fluids, of Finlayson [1]. Stiles and Kagan [5] extended the experi- Weakly nonlinear stability, Rotation, Multi-domain spec- mental problem reported by Schwab et al. [4] by introduc- tral collocation method ing a strong magnetic field. A weakly nonlinear stability PACS: 47.11.Kb; 47.20.Bp analysis was used by Russell et al. [6] for magnetized fer- rofluids heated from above with the Rayleigh number as the control parameter for the onset of convection. They showed that heat transfer depends on the temperature dif- ference between the bounding surfaces. The rotation of fluids is an interesting topic that has *Corresponding Author: Precious Sibanda: School of Mathemat- been studied by, for example, Greenspan [7]. The classical ics, Statistics and Computer Science, University of KwaZulu-Natal, Rayleigh-Benard problem when the fluid layer is rotating Private Bag X01, Scottsville, Pietermaritzburg 3209, South Africa; is well known in the case of ordinary viscous fluids and Email: [email protected] Osman Adam Ibrahim Noreldin: School of Mathematics, Statistics has been reported by Chandrasekhar [2]. However, ferro- and Computer Science, University of KwaZulu-Natal, Private Bag magnetic fluids are known to exhibit very peculiar char- X01, Scottsville, Pietermaritzburg 3209, South Africa; acteristics when set to rotate. Demonstrating the effect of Email: [email protected] Open Access. © 2018 P. Sibanda and O. A. I. Noreldin, published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License Thermo-convective in rotating ferromagnetic fluid Ë 869 rotation on convection in ferromagnetic fluids is scientif- 2 Mathematical formulation ically important to researchers. Gupta and Gupta [8] ex- amined the onset of convection in a ferromagnetic fluid Consider a ferromagnetic fluid confined between two infi- heated from below and rotating about a vertical axis sub- nite horizontal plates at z = −h/2 and z = h/2. The layer ject to a uniform magnetic field. They concluded that over- is heated from below and cooled from above, and is rotat- stability may not occur for Prandtl numbers smaller than ing uniformly about the vertical axis with constant angular unity. The thermo-convective instability in a rotating fer- velocity Ω. The lower and upper plates are subjected to an rofluid was further analyzed by Venkatasubramanian and oscillatory temperature T +∆T[1+ϵ2 cos(ωt+φ)] where ω Kaloni [9]. They presented both analytical and numerical 0 is the modulation frequency and φ is the phase angle. The results for free and rigid boundary conditions. Their re- Oberbeck-Boussinesq approximation is assumed to be ap- sults were in good agreement with those of Finlayson [1] plicable. The magnetization M of the ferrofluid is assumed and Chandrasekhar [2] for some limiting cases. Thermo- to be parallel to the magnetic field H. The equations de- convection in a ferromagnetic fluid has been studied by scribing the fluid motion under these assumptions are the other researchers, for instance, [10, 12]. continuity equation, modified momentum equation, en- The problem associated with convection in ferromag- ergy equation and Maxwell’s equations (Finlayson [1] and netic fluids is both relevant and mathematically challeng- Gupta and Gupta [8]): ing. The unmodulated Rayleigh Benard problem of a ferro- magnetic fluid has been extensively studied. The effect ofa r · V = 0, (1) magnetic modulation on the stability of a magnetic liquid DV ρ = −rP0 + µr2V + ρg layer heated from above was studied by Aniss et al. [13]. 0 Dt They used the Floquet theory for their study of the onset of convection. The study showed the possibility of a com- ρ + r · (HB) + 2ρ V × Ω) + 0 r(jΩ × rj), (2) petitive interaction between harmonic and subharmonic 0 2 " # modes at the onset of convection. Convective instability in (︂ ∂M)︂ DT ρ C − µ H · a ferromagnetic fluid layer with time-periodic modulation 0 V.H 0 ∂T V,H Dt in the temperature field was investigated by Singh and Ba- jaj [14] using the linear stability theory and the classical (︂ ∂M)︂ DH Floquet theory. Their result agrees with those of Aniss et +µ T · = κr2T + Φ, (3) 0 ∂T Dt al. [13]. V,H Convection in a rotating horizontal fluid layer con- fined in a porous medium with temperature modulation r · B = 0; r × H = 0, (4) at the boundary was studied by Bhadauria [19]. He investi- gated the stability of the flow using the Galerkin method where V is the velocity field, ρ0 is the density at the am- 0 µ0 2 and the Flouquet theory. In this study we analyze ther- bient temperature, P = P + 2 H is the pressure, µ is the moconvective instability in a rotating ferromagnetic fluid viscosity, g is the gravitational body force, B is the mag- layer with time periodic temperature boundary conditions. netic induction, µ0 is the magnetic permeability, T is the The fluid layer is heated from below and rotates about the temperature, κ is the thermal conductivity, CV,H is the heat vertical axis subject to a uniform magnetic field. We as- capacity at constant volume and magnetic field, α is the sume two stress free and two rigid boundary conditions. thermal expansion coefficient and Φ is the viscous dissi- The Ginzburg Landau equation is obtained, see [20] for de- pation. The magnetization and magnetic field are related tails on the relevance of the Ginzburg Landau equation. by the formula Nonlinear ordinary differential equations of the Lorenz B = µ (H + M). (5) type are obtained and solved numerically using the multi- 0 domain spectral collocation method [16–18]. This method The magnetization is dependent on the temperature and has not been fully tested before on evolution equations of magnitude of magnetic field, so that this nature, hence the accuracy of solutions obtained us- H ing this method is also a matter of concern in this study. M = M(H, T). (6) H Heat transfer in the rotating horizontal fluid layer is dis- cussed. Equation (6) is linearized using the Taylor expansion M = M0 + χ(H − H0) − K(T − T1), (7) 870 Ë P. Sibanda and O. A. I. Noreldin 0 0 where χ ≡ (∂M/∂H)H0 ,T1 is the magnetic susceptibility H3 = Hb + H 3, M3 = Mb + M 3, and K ≡ −(∂M/∂T)H0 ,T1 is pryomagnetic coefficient, H0 is where the prime represents a perturbed quantity. The lin- the uniform magnetic field and T1 = (T∞ + T0)/2, T∞ and earization of Eqs. (6) and (7) gives T0 are the temperatures at h/2 and −h/2, respectively. The study is restricted to the case when magnetization induced (︂ )︂ 0 0 M0 0 H i + M i = 1 + H i , i = 1, 2. (14) by the temperature variation is much smaller than that in- H0 duced by the external magnetic field. The density varies linearly with temperature as 0 0 0 0 H 3 + M 3 = (1 + χ)H − KT . (15) ρ = ρ0(1 − α(T − T1)). (8) We assume that K∆T << (1 + χ)H0.
Load more

Recommended publications
  • Soaring Weather
    Chapter 16 SOARING WEATHER While horse racing may be the "Sport of Kings," of the craft depends on the weather and the skill soaring may be considered the "King of Sports." of the pilot. Forward thrust comes from gliding Soaring bears the relationship to flying that sailing downward relative to the air the same as thrust bears to power boating. Soaring has made notable is developed in a power-off glide by a conven­ contributions to meteorology. For example, soar­ tional aircraft. Therefore, to gain or maintain ing pilots have probed thunderstorms and moun­ altitude, the soaring pilot must rely on upward tain waves with findings that have made flying motion of the air. safer for all pilots. However, soaring is primarily To a sailplane pilot, "lift" means the rate of recreational. climb he can achieve in an up-current, while "sink" A sailplane must have auxiliary power to be­ denotes his rate of descent in a downdraft or in come airborne such as a winch, a ground tow, or neutral air. "Zero sink" means that upward cur­ a tow by a powered aircraft. Once the sailcraft is rents are just strong enough to enable him to hold airborne and the tow cable released, performance altitude but not to climb. Sailplanes are highly 171 r efficient machines; a sink rate of a mere 2 feet per second. There is no point in trying to soar until second provides an airspeed of about 40 knots, and weather conditions favor vertical speeds greater a sink rate of 6 feet per second gives an airspeed than the minimum sink rate of the aircraft.
    [Show full text]
  • Cloud Characteristics, Thermodynamic Controls and Radiative Impacts During the Observations and Modeling of the Green Ocean Amazon (Goamazon2014/5) Experiment
    Atmos. Chem. Phys., 17, 14519–14541, 2017 https://doi.org/10.5194/acp-17-14519-2017 © Author(s) 2017. This work is distributed under the Creative Commons Attribution 3.0 License. Cloud characteristics, thermodynamic controls and radiative impacts during the Observations and Modeling of the Green Ocean Amazon (GoAmazon2014/5) experiment Scott E. Giangrande1, Zhe Feng2, Michael P. Jensen1, Jennifer M. Comstock1, Karen L. Johnson1, Tami Toto1, Meng Wang1, Casey Burleyson2, Nitin Bharadwaj2, Fan Mei2, Luiz A. T. Machado3, Antonio O. Manzi4, Shaocheng Xie5, Shuaiqi Tang5, Maria Assuncao F. Silva Dias6, Rodrigo A. F de Souza7, Courtney Schumacher8, and Scot T. Martin9 1Environmental and Climate Sciences Department, Brookhaven National Laboratory, Upton, NY, USA 2Pacific Northwest National Laboratory, Richland, WA, USA 3National Institute for Space Research, São José dos Campos, Brazil 4National Institute of Amazonian Research, Manaus, Amazonas, Brazil 5Lawrence Livermore National Laboratory, Livermore, CA, USA 6University of São Paulo, São Paulo, Department of Atmospheric Sciences, Brazil 7State University of Amazonas (UEA), Meteorology, Manaus, Brazil 8Texas A&M University, College Station, Department of Atmospheric Sciences, TX, USA 9Harvard University, Cambridge, School of Engineering and Applied Sciences and Department of Earth and Planetary Sciences, MA, USA Correspondence to: Scott E. Giangrande ([email protected]) Received: 12 May 2017 – Discussion started: 24 May 2017 Revised: 30 August 2017 – Accepted: 11 September 2017 – Published: 6 December 2017 Abstract. Routine cloud, precipitation and thermodynamic 1 Introduction observations collected by the Atmospheric Radiation Mea- surement (ARM) Mobile Facility (AMF) and Aerial Facility The simulation of clouds and the representation of cloud (AAF) during the 2-year US Department of Energy (DOE) processes and associated feedbacks in global climate mod- ARM Observations and Modeling of the Green Ocean Ama- els (GCMs) remains the largest source of uncertainty in zon (GoAmazon2014/5) campaign are summarized.
    [Show full text]
  • NWS Unified Surface Analysis Manual
    Unified Surface Analysis Manual Weather Prediction Center Ocean Prediction Center National Hurricane Center Honolulu Forecast Office November 21, 2013 Table of Contents Chapter 1: Surface Analysis – Its History at the Analysis Centers…………….3 Chapter 2: Datasets available for creation of the Unified Analysis………...…..5 Chapter 3: The Unified Surface Analysis and related features.……….……….19 Chapter 4: Creation/Merging of the Unified Surface Analysis………….……..24 Chapter 5: Bibliography………………………………………………….…….30 Appendix A: Unified Graphics Legend showing Ocean Center symbols.….…33 2 Chapter 1: Surface Analysis – Its History at the Analysis Centers 1. INTRODUCTION Since 1942, surface analyses produced by several different offices within the U.S. Weather Bureau (USWB) and the National Oceanic and Atmospheric Administration’s (NOAA’s) National Weather Service (NWS) were generally based on the Norwegian Cyclone Model (Bjerknes 1919) over land, and in recent decades, the Shapiro-Keyser Model over the mid-latitudes of the ocean. The graphic below shows a typical evolution according to both models of cyclone development. Conceptual models of cyclone evolution showing lower-tropospheric (e.g., 850-hPa) geopotential height and fronts (top), and lower-tropospheric potential temperature (bottom). (a) Norwegian cyclone model: (I) incipient frontal cyclone, (II) and (III) narrowing warm sector, (IV) occlusion; (b) Shapiro–Keyser cyclone model: (I) incipient frontal cyclone, (II) frontal fracture, (III) frontal T-bone and bent-back front, (IV) frontal T-bone and warm seclusion. Panel (b) is adapted from Shapiro and Keyser (1990) , their FIG. 10.27 ) to enhance the zonal elongation of the cyclone and fronts and to reflect the continued existence of the frontal T-bone in stage IV.
    [Show full text]
  • A Meteorological and Blowing Snow Data Set (2000–2016) from a High-Elevation Alpine Site (Col Du Lac Blanc, France, 2720 M A.S.L.)
    Earth Syst. Sci. Data, 11, 57–69, 2019 https://doi.org/10.5194/essd-11-57-2019 © Author(s) 2019. This work is distributed under the Creative Commons Attribution 4.0 License. A meteorological and blowing snow data set (2000–2016) from a high-elevation alpine site (Col du Lac Blanc, France, 2720 m a.s.l.) Gilbert Guyomarc’h1,5, Hervé Bellot2, Vincent Vionnet1,3, Florence Naaim-Bouvet2, Yannick Déliot1, Firmin Fontaine2, Philippe Puglièse1, Kouichi Nishimura4, Yves Durand1, and Mohamed Naaim2 1Univ. Grenoble Alpes, Université de Toulouse, Météo-France, CNRS, CNRM, Centre d’Etudes de la Neige, Grenoble, France 2Univ. Grenoble Alpes, IRSTEA, UR ETNA, 38042 St-Martin-d’Hères, France 3Centre for Hydrology, University of Saskatchewan, Saskatoon, SK, Canada 4Graduate School of Environmental Studies, Nagoya University, Nagoya, Japan 5Météo France, DIRAG, Point à Pitre, Guadeloupe, France Correspondence: Florence Naaim-Bouvet (fl[email protected]) Received: 12 June 2018 – Discussion started: 25 June 2018 Revised: 8 October 2018 – Accepted: 9 November 2018 – Published: 11 January 2019 Abstract. A meteorological and blowing snow data set from the high-elevation experimental site of Col du Lac Blanc (2720 m a.s.l., Grandes Rousses mountain range, French Alps) is presented and detailed in this pa- per. Emphasis is placed on data relevant to the observations and modelling of wind-induced snow transport in alpine terrain. This process strongly influences the spatial distribution of snow cover in mountainous terrain with consequences for snowpack, hydrological and avalanche hazard forecasting. In situ data consist of wind (speed and direction), snow depth and air temperature measurements (recorded at four automatic weather stations), a database of blowing snow occurrence and measurements of blowing snow fluxes obtained from a vertical pro- file of snow particle counters (2010–2016).
    [Show full text]
  • The Effect of Stable Thermal Stratification on Turbulent Boundary
    The effect of stable thermal stratifcation on turbulent boundary layer statistics O.Williams, T. Hohman, T. Van Buren, E. Bou-Zeid and A. J. Smits May 22, 2019 Abstract The effects of stable thermal stratifcation on turbulent boundary layers are ex- perimentally investigated for smooth and rough walls. Turbulent stresses for weak to moderate stability are seen to scale with the wall-shear stress compensated for changes in fuid density in the same manner as done for compressible fows, sug- gesting little change in turbulent structure within this regime. At higher levels of stratifcation turbulence no longer scales with the wall shear stress and turbu- lent production by mean shear collapses, but without the preferential damping of near-wall motions observed in previous studies. We suggest that the weakly sta- ble and strongly stable (collapsed) regimes are delineated by the point where the turbulence no longer scales with the local wall shear stress, a signifcant departure from previous defnitions. The critical stratifcation separating these two regimes closely follows the linear stability analysis of Schlichting (1935) [Schlichting, Hauptaufs¨atze. Turbulenz bei W¨armeschichtung, ZAMM-J. of App. Math. and Mech., vol 15, 1935 ] for both smooth and rough surfaces, indicating that a good predictor of critical stratifcation is the gradient Richardson number evaluated at the wall. Wall-normal and shear stresses follow atmospheric trends in the local gradient Richardson number scaling of Sorbjan (2010) [Sorbjan, Gradient-based scales and similarity laws in the stable boundary layer, Q.J.R. Meteorological Soc., vol 136, 2010], suggesting that much can be learned about stratifed atmo- spheric fows from the study of laboratory scale boundary layers at relatively low Reynolds numbers.
    [Show full text]
  • Thunderstorm Analysis in the Northern Rocky Mountains
    This file was created by scanning the printed publication. ^1 / Errors identified by the software have been corrected; ^n/' however, some errors may remain. 4* * THUNDERSTORM ANALYSTS c' Tn the NORTHERN ROCKY MOUNTATNS DeVerColson ENTERMOUNTAEN FOREST AND RANGE EXPEREMENT STATEON FOREST SERVECE UNETED STATES DEPARTMENT OF AGRECULTURE Ogden, Utah Reed W. Bailey, Director RESEARCH PAPER NO. 49 1957 Research Paper No. 49 l957 THUNDERSTORM ANALYSIS IN THE NORTHERN ROCKY MOUNTAINS By DeVer Colson Meteorologist INTERMOUNTAIN FOREST AND RANGE EXPERIMENT STATION Forest Service U.S. Department of Agriculture Ogden, Utah Reed W. Bailey, Director THUNDERSTORM ANALYSIS IN THE NORTHERN ROCKY MOUNTAINS DeVer Col son!' U.S. Weather Bureau Washington, D.C. INTRODUCTION Lightning-caused fires are a continuing serious threat to forests in the northern Rocky Mountain area. More than 70 percent of all forest fires in this area are caused by lightning. In one l0-day period in July l940 the all-time record of l,488 lightning fires started on the national forests in Region l of the U.S. Forest Service.—' Project Skyfire was planned and organized to study the causes and char acteristics of lightning storms and to see what steps could be taken to decrease the great losses caused by lightning fires. One important phase of Project Skyfire is the study and analysis of the weather phenomena associated with the formation and growth of lightning storms. A better understanding of these factors is valuable to both the forester and the meteorologist. In the Project Skyfire research program,analyses are being made of the specific characteristics of individual lightning storms and the general characteristics of storms during an entire fire season.
    [Show full text]
  • Evolution of Slantwise Vertical Motions in NCEP's Mesoscale Eta Model
    VOLUME 127 MONTHLY WEATHER REVIEW JANUARY 1999 Evolution of Slantwise Vertical Motions in NCEP's Mesoscale Eta Model MUKUT B. MATHUR AND KEITH F. B RILL National Centers for Environmental Prediction, Washington, D.C. CHARLES J. SEMAN Geophysical Fluid Dynamics Laboratory, Princeton, New Jersey (Manuscript received 18 July 1997, in ®nal form 30 December 1997) ABSTRACT Numerical forecasts from the National Centers for Environmental Prediction's mesoscale version of the h coordinate±based model, hereafter referred to as MESO, have been analyzed to study the roles of conditional symmetric instability (CSI) and frontogenesis in copious precipitation events. A grid spacing of 29 km and 50 layers are used in the MESO model. Parameterized convective and resolvable-scale condensation, radiation physics, and many other physical processes are included. Results focus on a 24-h forecast from 1500 UTC 1 February 1996 in the region of a low-level front and associated deep baroclinic zone over the southeastern United States. Predicted precipitation amounts were close to the observed, and the rainfall in the model was mainly associated with the resolvable-scale condensation. During the forecast deep upward motion ampli®es in a band oriented west-southwest to east-northeast, nearly parallel to the mean tropospheric thermal wind. This band develops from a sloping updraft in the low-level nearly saturated frontal zone, which is absolutely stable to upright convection, but susceptible to CSI. The updraft is then nearly vertical in the middle troposphere where there is very weak conditional instability. We regard this occurrence as an example of model-produced deep slantwise convection (SWC).
    [Show full text]
  • Synoptic Meteorology
    Lecture Notes on Synoptic Meteorology For Integrated Meteorological Training Course By Dr. Prakash Khare Scientist E India Meteorological Department Meteorological Training Institute Pashan,Pune-8 186 IMTC SYLLABUS OF SYNOPTIC METEOROLOGY (FOR DIRECT RECRUITED S.A’S OF IMD) Theory (25 Periods) ❖ Scales of weather systems; Network of Observatories; Surface, upper air; special observations (satellite, radar, aircraft etc.); analysis of fields of meteorological elements on synoptic charts; Vertical time / cross sections and their analysis. ❖ Wind and pressure analysis: Isobars on level surface and contours on constant pressure surface. Isotherms, thickness field; examples of geostrophic, gradient and thermal winds: slope of pressure system, streamline and Isotachs analysis. ❖ Western disturbance and its structure and associated weather, Waves in mid-latitude westerlies. ❖ Thunderstorm and severe local storm, synoptic conditions favourable for thunderstorm, concepts of triggering mechanism, conditional instability; Norwesters, dust storm, hail storm. Squall, tornado, microburst/cloudburst, landslide. ❖ Indian summer monsoon; S.W. Monsoon onset: semi permanent systems, Active and break monsoon, Monsoon depressions: MTC; Offshore troughs/vortices. Influence of extra tropical troughs and typhoons in northwest Pacific; withdrawal of S.W. Monsoon, Northeast monsoon, ❖ Tropical Cyclone: Life cycle, vertical and horizontal structure of TC, Its movement and intensification. Weather associated with TC. Easterly wave and its structure and associated weather. ❖ Jet Streams – WMO definition of Jet stream, different jet streams around the globe, Jet streams and weather ❖ Meso-scale meteorology, sea and land breezes, mountain/valley winds, mountain wave. ❖ Short range weather forecasting (Elementary ideas only); persistence, climatology and steering methods, movement and development of synoptic scale systems; Analogue techniques- prediction of individual weather elements, visibility, surface and upper level winds, convective phenomena.
    [Show full text]
  • The Sensitivity of Convective Initiation to the Lapse Rate of the Active Cloud-Bearing Layer
    University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Earth and Atmospheric Sciences, Department Papers in the Earth and Atmospheric Sciences of 2007 The Sensitivity of Convective Initiation to the Lapse Rate of the Active Cloud-Bearing Layer Adam L. Houston Dev Niyogi Follow this and additional works at: https://digitalcommons.unl.edu/geosciencefacpub Part of the Earth Sciences Commons This Article is brought to you for free and open access by the Earth and Atmospheric Sciences, Department of at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Papers in the Earth and Atmospheric Sciences by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. VOLUME 135 MONTHLY WEATHER REVIEW SEPTEMBER 2007 The Sensitivity of Convective Initiation to the Lapse Rate of the Active Cloud-Bearing Layer ADAM L. HOUSTON Department of Geosciences, University of Nebraska at Lincoln, Lincoln, Nebraska DEV NIYOGI Departments of Agronomy and Earth and Atmospheric Sciences, Purdue University, West Lafayette, Indiana (Manuscript received 25 August 2006, in final form 8 December 2006) ABSTRACT Numerical experiments are conducted using an idealized cloud-resolving model to explore the sensitivity of deep convective initiation (DCI) to the lapse rate of the active cloud-bearing layer [ACBL; the atmo- spheric layer above the level of free convection (LFC)]. Clouds are initiated using a new technique that involves a preexisting airmass boundary initialized such that the (unrealistic) adjustment of the model state variables to the imposed boundary is disassociated from the simulation of convection. Reference state environments used in the experiment suite have identical mixed layer values of convective inhibition, CAPE, and LFC as well as identical profiles of relative humidity and wind.
    [Show full text]
  • A Comparison of Mid-Level Frontogenesis to Radar- Indicated Heavy Snowbands
    A Comparison of Mid-Level Frontogenesis to Radar- Indicated Heavy Snowbands CHRISTOPHER D. KARSTENS Iowa State University, Ames, Iowa Mentor: Dr. William A. Gallus Jr. Iowa State University, Ames, Iowa ABSTRACT Frontogenesis and conditional symmetric instability have been researched extensively, becoming widely used as a means of predicting small scale heavy snow events. The secondary ageostrophic circulation induced by frontogenesis has been shown to produce narrow bands of precipitation, sustained for periods of time by the continual release of moist symmetric instability. This study analyzes six levels of frontogenesis to determine if a specific level is consistently in close proximity to the radar-indicated snowband detected at the same time. The closest level for three cases was examined in greater detail to emphasize a relationship between frontogenesis and moist symmetric instability. Results show frontogenesis in the 700mb to 750mb layer was close to the snowband location within reasonable accuracy, but is shown to vary. In addition, two conceptual models of frontogenesis in relation to saturated equivalent potential vorticity are verified. 1. Introduction produce and sustain narrow bands of precipitation in regions of frontogenetic forcing Several dynamical forcing mechanisms have (Banacos 2003). been identified and researched to explain the Frontogenesis is defined as the initial occurrence of mesoscale precipitation bands in formation of a front or frontal zone, caused by winter cyclonic storms (Shields et al. 1991). an increase in the horizontal gradient of an These include conditional symmetric instability airmass property, principally density, and the (CSI) (Bennetts and Hoskins 1979; Emanuel development of the accompanying features of 1983a,b; Schultz and Schumacher, 1999), the wind field that typify a front (American frontal circulations (Browning and Harrold Meteorological Society 2006).
    [Show full text]
  • Quantifying Fog Contributions to Water Balance in a Coastal California Watershed
    Received: 27 February 2017 Accepted: 11 August 2017 DOI: 10.1002/hyp.11312 RESEARCH ARTICLE How much does dry-season fog matter? Quantifying fog contributions to water balance in a coastal California watershed Michaella Chung1 Alexis Dufour2 Rebecca Pluche2 Sally Thompson1 1Department of Civil and Environmental Engineering, University of California, Berkeley, Abstract Davis Hall, Berkeley,CA 94720, USA The seasonally-dry climate of Northern California imposes significant water stress on ecosys- 2San Francisco Public Utilities Commission, 525 Golden Gate Avenue, San Francisco, CA tems and water resources during the dry summer months. Frequently during summer, the only 94102, USA water inputs occur as non-rainfall water, in the form of fog and dew. However, due to spa- Correspondence tially heterogeneous fog interaction within a watershed, estimating fog water fluxes to under- Michaella Chung, Department of Civil and stand watershed-scale hydrologic effects remains challenging. In this study, we characterized Environmental Engineering, University of California, Berkeley,Davis Hall, Berkeley,CA the role of coastal fog, a dominant feature of Northern Californian coastal ecosystems, in a 94720, USA. San Francisco Peninsula watershed. To monitor fog occurrence, intensity, and spatial extent, Email: [email protected] we focused on the mechanisms through which fog can affect the water balance: throughfall following canopy interception of fog, soil moisture, streamflow, and meteorological variables. A stratified sampling design was used to capture the watershed's spatial heterogeneities in rela- tion to fog events. We developed a novel spatial averaging scheme to upscale local observations of throughfall inputs and evapotranspiration suppression and make watershed-scale estimates of fog water fluxes.
    [Show full text]
  • Some Basic Elements of Thunderstorm Forecasting
    (] NOAA TECHNICAL MEMORANDUM NWS CR-69 SOME BASIC ELEMENTS OF THUNDERSTORM FORECASTING Richard P. McNulty National Weather Service Forecast Office Topeka, Kansas May 1983 UNITED STATES I Nalion•l Oceanic and I National Weather DEPARTMENT OF COMMERCE Almospheric Adminislralion Service Malcolm Baldrige. Secretary John V. Byrne, Adm1mstrator Richard E. Hallgren. Director SOME BASIC ELEMENTS OF THUNDERSTORM FORECASTING 1. INTRODUCTION () Convective weather phenomena occupy a very important part of a Weather Service office's forecast and warning responsibilities. Severe thunderstorms require a critical response in the form of watches and warnings. (A severe thunderstorm by National Weather Service definition is one that produces wind gusts of 50 knots or greater, hail of 3/4 inch diameter or larger, and/or tornadoes.) Nevertheless, heavy thunderstorms, those just below severe in­ ·tensity or those producing copious rainfall, also require a certain degree of response in the form of statements and often staffing. (These include thunder­ storms producing hail of any size and/or wind gusts of 35 knots or greater, or storms producing sufficiently intense rainfall to possess a potential for flash flooding.) It must be realized that heavy thunderstorms can have as much or more impact on the public, and require as much action by a forecast office, as do severe thunderstorms. For the purpose of this paper the term "signi­ ficant convection" will refer to a combination of these two thunderstorm classes. · It is the premise of this paper that significant convection, whether heavy or severe, develops from similar atmospheric situations. For effective opera­ tions, forecasters at Weather Service offices should be familiar with those factors which produce significant convection.
    [Show full text]