Finite element solution of heat and mass transfer flow with Hall current, heat source, and viscous dissipation

Sivaiah, S.; Srinivasa-Raju, R.

doi:10.1007/s10483-013-1690-8

Cited by 22 publications

(11 citation statements)

References 15 publications

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“…The finite element method (FEM) is a numerical and computer based technique of solving a variety of practical engineering problems that arise in different fields such as, in heat transfer, fluid mechanics (Srinivasa Raju et al 2015;Bhargava and Rana, 2011;Sheri and Raju, 2015, Sheri and Raju , 2016, Sivaiah and Raju, 2013, chemical processing (Lin and Lo, 2003)), rigid body dynamics (Dettmer and Peric, 2006), solid mechanics (Hansbo and Hansbo, 2003), and many other fields. It is recognized by developers and users as one of the most powerful numerical analysis tools ever devised to analyze complex problems of engineering.…”

Section: Finite Element Methods (Fem)mentioning

confidence: 99%

MHD Casson Viscous Dissipative Fluid Flow Past a Vertically Inclined Plate in Presence of Heat and Mass Transfer: A Finite Element Technique

Raju¹,

Reddy²,

G³

2017

Frontiers in Heat and Mass Transfer

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Section: Finite Element Methods (Fem)mentioning

confidence: 99%

MHD Casson Viscous Dissipative Fluid Flow Past a Vertically Inclined Plate in Presence of Heat and Mass Transfer: A Finite Element Technique

Raju¹,

Reddy²,

G³

2017

Frontiers in Heat and Mass Transfer

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“…In this research work, the governing equations were solved by using control volume based finite element method. Sivaiah and Raju [30] studied the effect of Hall current on heat and mass transfer viscous dissipative fluid flow with heat source using finite element method. Sheri and Raju [31] studied the influence of Soret on an unsteady magnetohydrodynamics free convective flow past a semiinfinite vertical plate in the presence viscous dissipation.…”

Section: Literature Survey Of Finite Element Techniquementioning

confidence: 99%

Chemically reacting fluid flow induced by an exponentially accelerated infinite vertical plate in a magnetic field and variable temperature via LTT and FEM

Srinivasa

Aruna²,

Naidu³

et al. 2016

Theor appl mech (Belgr)

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In this research paper, we found both numerical and analytical solutions for the effect of chemical reaction on unsteady, incompressible, viscous fluid flow past an exponentially accelerated vertical plate with heat absorption and variable temperature in a magnetic field. The flow problem is governed by a system of coupled non-linear partial differential equations with suitable boundary conditions. We have solved the governing equations by an efficient, accurate, powerful finite element method (FEM) as well as Laplace transform technique (LTT). The evaluation of the numerical results are performed and graphical results for the velocity, temperature and concentration profiles within the boundary layer are discussed. Also, the expressions for the skin-friction, Nusselt number and the Sherwood number coefficients have been derived and discussed through graphs and tabular forms for different values of the governing parameters. Nomenclature Small positive parameter 0 External magnetic field () ′ Species concentration (−3) ′ Concentration of the plate (−3) ′ ∞ Concentration of the fluid far away from the plate (−3) Skin-friction coefficient (−3) Specific heat at constant pressure (−1 −1) Solute mass diffusivity (2 −1) Acceleration due to gravity (2 −2) Gr Grashof number for heat transfer Gc Grashof number for mass transfer ′ Dimensional chemical reaction parameter

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“…Sa'adAldin and Qatanani [12] have studied the unsteady MHD flow through two parallel porous flat plates. Sivaiah and Srinivasa-Raju [13] have discussed the finite element solution of heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity. Yuksel and Ingram [14] have investigated the numerical analysis of a finite element method, Crank-Nicolson discretization for MHD flows at small magnetic Reynold number.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Solution of an Unsteady MHD Flow through Porous Medium between Two Parallel Flat Plates

Sa’adAldin

Qatanani

2017

Journal of Applied Mathematics

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Finite element solution of unsteady magnetohydrodynamics (MHD) flow of an electrically conducting, incompressible viscous fluid past through porous medium between two parallel plates is presented in the presence of a transverse magnetic field and Hall effect. The results obtained from some test cases are then compared with previous published work using the finite difference method (FDM). Numerical examples show that the finite element method (FEM) gives more accurate results in comparison with the finite difference method (FDM).

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Finite element solution of heat and mass transfer flow with Hall current, heat source, and viscous dissipation

Cited by 22 publications

References 15 publications

MHD Casson Viscous Dissipative Fluid Flow Past a Vertically Inclined Plate in Presence of Heat and Mass Transfer: A Finite Element Technique

MHD Casson Viscous Dissipative Fluid Flow Past a Vertically Inclined Plate in Presence of Heat and Mass Transfer: A Finite Element Technique

Chemically reacting fluid flow induced by an exponentially accelerated infinite vertical plate in a magnetic field and variable temperature via LTT and FEM

Finite Element Solution of an Unsteady MHD Flow through Porous Medium between Two Parallel Flat Plates

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