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On the Solution of Double-Diffusive Convective Flow due to a Cone by a Linearization Method

Mahesha Narayana, Precious Sibanda
2012 Journal of Applied Mathematics  
The paper details the use of a nonperturbation successive linearization method to solve the coupled nonlinear boundary value problem due to double-diffusive convection from an inverted cone.  ...  The SLM is based on successively linearizing the governing nonlinear boundary layer equations and solving the resulting higher-order deformation equations using spectral methods.  ...  Acknowledgments The authors wish to thank University of KwaZulu-Natal and the National Research Foundation NRF for financial support.  ... 
doi:10.1155/2012/587357 fatcat:bmh47nzmuffsfohpdgwyi3tv5u

Double dispersion effects on non-Darcy free convective boundary layer flow of a nanofluid over vertical frustum of a cone with convective boundary condition

Ch. RamReddy, Ch. Venkata Rao
2017 Nonlinear Engineering  
AbstractIn this paper, a numerical analysis is performed to investigate the effects of double dispersion and convective boundary condition on natural convection flow over vertical frustum of a cone in  ...  To test the accuracy of proposed method, the error analysis and convergence tests are conducted.  ...  A non-similar boundary layer analysis for the double diffusive convection over vertical wavy frustum of a cone in porous media has been examined by Cheng [16] .  ... 
doi:10.1515/nleng-2016-0071 fatcat:3pkaxny3gzcp3jwb4s37ghb4ey

Double-diffusive convection with variable viscosity from a vertical truncated cone in porous media in the presence of magnetic field and radiation effects

A. Mahdy, A.J. Chamkha, Yousef Baba
2010 Computers and Mathematics with Applications  
This work is focused on the study of combined heat and mass transfer or double-diffusive convection near a vertical truncated cone embedded in a fluid-saturated porous medium in the presence of thermal  ...  The viscosity of the fluid is assumed to be an inverse linear function of the fluid temperature. A boundary-layer analysis is employed to derive the non-dimensional governing equations.  ...  In addition, double-diffusive convection caused by buoyancy due to temperature and concentration gradients in a fluid-saturated porous medium occurs in many geophysical, geothermal and industrial applications  ... 
doi:10.1016/j.camwa.2010.04.024 fatcat:3gnedn655jaehod25vf2gjgi2m

On double-diffusive convection and cross diffusion effects on a horizontal wavy surface in a porous medium

M Narayana, P Sibanda, SS Motsa, PG Siddheshwar
2012 Boundary Value Problems  
An analysis of double diffusive convection induced by a uniformly heated and salted horizontal wavy surface in a porous medium is presented.  ...  The effects of the Lewis number, buoyancy ratio, and wavy geometry on the dynamics of the flow are studied.  ...  Acknowledgements The authors are grateful to the National Research Foundation (NRF) and the University of KwaZulu-Natal for financial support.  ... 
doi:10.1186/1687-2770-2012-88 fatcat:qeguow6h2jfjhbotffyq742quq

Viscosity and dispersion effects on natural convection from a vertical cone in a nonnewtonian fluid saturated porous medium

Rishi Kairi
2011 Thermal Science  
This paper investigates the influence of double dispersion and viscosity on natural convection heat and mass transfer from vertical cone in a non-Darcy porous medium saturated with non-Newtonian fluid.  ...  The Ostwald-de Waele power law model is used to characterize the non-Newtonian fluid behavior. A similarity solution for the transformed governing equations is obtained.  ...  The main purpose of the present investigation is to illustrate the effects of variable viscosity and double dispersion on natural convection heat and mass transfer form a vertical cone plate in a non-Newtonian  ... 
doi:10.2298/tsci110614124k fatcat:lip53txxsbdd5i3bvpb25gxaxy

Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxes

Rishi Raj Kairi, Ch. RamReddy, Santanu Raut
2018 Nonlinear Engineering  
This paper emphasizes the thermo-diffusion and viscous dissipation effects on double diffusive natural convection heat and mass transfer characteristics of non-Newtonian power-law fluid over a vertical  ...  solved numerically by Runge-Kutta fourth order method together with a shooting technique.  ...  Acknowledgement: The first author Rishi Raj Kairi thanks for the support received from University Grants Commission (UGC), Kolkata, India (Project No. PSW-161/15-16 with (ERO) ID NO. WGB-016).  ... 
doi:10.1515/nleng-2016-0054 fatcat:ovc7tj6glbht3blbo4soab6j74

Transient Free Convective Flow over a Vertical Cone Embedded in a Thermally Stratified Medium

Bapuji Pullepu
2012 Bonfring International Journal of Software Engineering and Soft Computing  
Unsteady natural convection flow of a viscous and incompressible flow over a vertical cone immersed in a stable thermally stratified medium is theoretically studied in this paper.  ...  The effects of Prandtl number and stratification parameter on the velocity and temperature profiles on the flow and heat transfer characteristics have been determined and discussed in detail.  ...  Transient numerical study of double-diffusive free convection from a vertical surface in a thermally stratified medium is highlighted by Srinivasan and Angirasa [6] , and Angirasa and Srinivasan [7]  ... 
doi:10.9756/bijsesc.1103 fatcat:3zt7fkvu5rdlfcw45gogxaqfae

Influence of nonliner convection and thermophoresis on heat and mass transfer from a rotating cone to fluid flow in porous medium

Mallikarjuna Bandaru, Mohammad Rashidi, Hariprasad Raju
2017 Thermal Science  
Original scientific paper In this paper, we study the effects of thermophoresis and non-linear convection on mixed convective flow of viscous incompressible rotating  ...  fluid due to rapidly rotating cone in a porous medium, whose surface temperature and concentration are higher than the temperature and concentration of its surrounding fluid.  ...  Acknowledgment One of the authors Mallikarjuna wishes to thank the B.M.S.  ... 
doi:10.2298/tsci150619004b fatcat:mfzu3fofdrds7di2zypzzqdxsq

Numerical Solutions of Free Convective Flow from a Vertical Cone with Mass Transfer under the Influence of Chemical Reaction and Heat Generation/Absorption in the Presence of UWT/UWC

Bapuji Pullepu, sambath p, Selva Rani M, A. J. Chamkha, K.K. VISWANATHAN
2016 Journal of Applied Fluid Mechanics  
The purpose of this paper is to present a mathematical model for the combined effects of chemical reaction and heat generation/absorption on unsteady laminar free convective flow with heat and mass transfer  ...  over an incompressible viscous fluid past a vertical permeable cone with uniform wall temperature and concentration (UWT/UWC).The dimensionless governing boundary layer equations of the flow that are  ...  Cheng ( a, 2010 analyzed the Soret and Dufour effects on the boundary layer flow due to natural convection heat and mass transfer over a downward-pointing vertical cone and truncated cone in a porous  ... 
doi:10.18869/acadpub.jafm.68.224.24062 fatcat:bvc72t5rzbgwxp4udwx7l7abmm

Convection from an inverted cone in a porous medium with cross-diffusion effects

F.G. Awad, P. Sibanda, S.S. Motsa, O.D. Makinde
2011 Computers and Mathematics with Applications  
In this study convection from an inverted cone in a porous medium with cross-diffusion is studied numerically. Diffusion-thermo and thermo-diffusion effects are assumed to be significant.  ...  Verification of the accuracy and correctness of the results is achieved by solving the equations using an independent linearisation method.  ...  the effect of radiation in convective flow over a cone.  ... 
doi:10.1016/j.camwa.2011.01.015 fatcat:eyqrxcrn7jgyfmaktagprm4uiu

Transpiration and Thermophoresis Effects on Non-Darcy Convective Flow Past a Rotating Cone with Thermal Radiation

B. Mallikarjuna, A. M. Rashad, Ahmed Kadhim Hussein, S. Hariprasad Raju
2016 The Arabian Journal for Science and Engineering  
to the original source of publication and a link is inserted to the published article on Springer's website.  ...  The governing equations for the pertinent geometry are non-dimensionalized by employing specified transformations. A set of resultant equations are solved by numerical method.  ...  [13] investigated thermophoresis effect on double diffusive convective flow induced by vertical rotating cone in a porous medium.  ... 
doi:10.1007/s13369-016-2252-x fatcat:g5fvs4juxjet7l5xuxda3uwrgq

Effects of Chemical Reactions on Unsteady Free Convective and Mass Transfer Flow from a Vertical Cone with Heat Generation/Absorption in the Presence of VWT/VWC

Bapuji Pullepu, P. Sambath, K. K. Viswanathan
2014 Mathematical Problems in Engineering  
A mathematical model for the effects of chemical reaction and heat generation/absorption on unsteady laminar free convective flow with heat and mass transfer over an incompressible viscous fluid past a  ...  The dimensionless governing boundary layer equations of the flow that are transient, coupled, and nonlinear partial differential equations are solved by an efficient, accurate, and unconditionally stable  ...  completion of this research work and thanks to the reviewers for their valuable suggestions and comments to improve this paper.  ... 
doi:10.1155/2014/849570 fatcat:paszlejtnbho7hl2fk65rlhow4


B. Rushi Kumar, R. Suresh Babu, P.A. Dinesh
2018 Frontiers in Heat and Mass Transfer  
This problem deals with the effects of double diffusive, mixed convective flow of an incompressible viscous fluid through a vertical heated plate embedded in a non-Darcy porous medium under the influence  ...  The governing equations are modeled for the double diffusive boundary layer flow to understand the behaviour of velocity, temperature and concentration for variable fluid properties namely permeability  ...  Keeping the above discussions in mind, authors investigated to explore the effect of double diffusive, mixed convective, heat and mass transfer flow of a Forchheimer model through a vertical plate in a  ... 
doi:10.5098/hmt.10.3 fatcat:q77qqhtjlnestclipha6dirrxa

Mathematical analysis of non-Newtonian nanofluid transport phenomena past a truncated cone with Newtonian heating

Nagendra Nallagundla, C. H. Amanulla, M. Suryanarayana Reddy
2018 Journal of Naval Architecture and Marine Engineering  
Validation of solutions with a Nakamura tri-diagonal method has been included.  ...  <p>In the present study, we analyze the heat, momentum and mass (species) transfer in external boundary layer flow of Casson nanofluid past a truncated cone surface with Biot Number effect is studied theoretically  ...  Acknowledgement The authors appreciate the constructive comments of the reviewers which led to definite improvement in the paper.  ... 
doi:10.3329/jname.v15i1.29966 fatcat:o5extbuqn5et3ntatg4e4fugq4

Similarity and analytical solutions of free convective flow of dilatant nanofluid in a Darcian porous medium with multiple convective boundary conditions

M.J. Uddin, B. Rostami, M.M. Rashid, P. Rostami
2016 Alexandria Engineering Journal  
This paper deals with an analytical solution of free convective flow of dilatant nanofluid past a vertical cone/plate.  ...  The effects of the governing parameters (Brownian motion, thermophoresis, convection-conduction, convection-diffusion, Lewis number, buoyancy ratio, and power-law) on the dimensionless velocity, temperature  ...  [15] considered the effect of momentum slip on Double-Diffusive natural convection of a nanofluid over a vertical plate.  ... 
doi:10.1016/j.aej.2015.10.011 fatcat:mu64e6ski5dujj2kvtspvoxhbi
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