S. V. S. S. N. V. G. Krishna Murthy

Defence Institute of Advanced Technology | DIAT · Department of Applied Mathematics

The physical model of free convective thermal and concentration stratified non-Darcy porous square enclosure under combined MHD forces and cross-diffusion (Soret and Dufour) effects have been considered. The main aim of this study is to introduce heat/mass function to fully analyze and visualize the convection heat/mass transfer within the porous e...

The objective of this paper is to investigate the combined heat and mass transfer process near a vertical wavy semi-infinite surface embedded in a doubly stratified electrically conducting fluid-saturated Darcy porous medium under the influence of Soret and Dufour effects. The governing coupled non-dimensional partial differential equations are tra...

The present article is an analysis of heat and mass transfer phenomena for a two-dimensional magnetohydrodynamic (MHD) free convection process in a thermal and mass stratified fluid containing Darcy porous enclosure under the influence of Soret and Dufour effects. The non-dimensional form of coupled non-linear partial differential equations governi...

The coupled nonlinear partial differential equations modeling the transverse magnetic effect on Darcian mixed convection from a horizontal plate in a nanofluid saturated porous medium have been solved numerically by finite difference method after transforming the partial differential equations into a set of two ordinary equations in suitable simila...

This paper reports a study of the heat and mass transfer in a two-dimensional magnetohydrodynamic free convection boundary layer flow along a vertical semi-infinite flat surface immersed in a thermal and mass stratified Darcy porous medium under the influence of the Soret and Dufour effect. The nonlinear partial differential equations governing the...

This study examines natural convection from a hot cubical structure buried inside a fluid saturated porous media under suction/injection induced forced flow conditions. The numerical computations are carried out by a segregated finite element approach under the paradigm of domain decomposition technique. Suitable sparse data structures and algorith...

In this article pulsatile nature of blood flow through unsymmetric stenosed tapered artery in the presence of catheter has been modelled. Blood is represented by micropolar fluid. The analytical solutions for velocity and microrotation components are obtained in terms of Bessel functions of the first and second kind. Flow parameters such as the res...

In this paper the Darcy natural convection process induced by an isothermal vertical wavy wall in a porous enclosure saturated with power-law type Non-Newtonian fluid is considered. The coupled non-linear partial differential equations modeling such a free convection process are then solved by Finite Element Method (FEM). Numerical results illustra...

Numerical investigation of mixed convection flow in a concentration-stratified fluid-saturated vertical square porous enclosure is investigated by Galerkin finite element method. The forced flow conditions are imposed by providing an inlet at the bottom wall and an outlet with a suction on the top wall. The free convection is induced by introducing...

A combined heat and mass transfer process by natural convection along a vertical wavy surface immersed in a thermal and mass stratified Darcy porous medium under the influence of Soret and Dufour effects have been analyzed. The governing partial differential equations are transformed into a set of coupled boundary layer equations based on nonsimila...

This study examines the influence of Soret and Dufour effects on double diffusive free convection due to wavy vertical surface immersed in a fluid saturated semi-infinite porous medium under Darcian assumptions. A wavy to flat surface transformation is applied, and the resulting coupled nonlinear partial differential equations under Boussinesq appr...

In the present work, a numerical study has been carried out for the singularly perturbed generalized Burgers–Huxley equation using a three-step Taylor–Galerkin finite element method. A Burgers–Huxley equation represents the traveling wave phenomena. In singular perturbed problems, a very small positive parameter, ϵϵ, called the singular perturbatio...

Purpose It is well known that the mixed convection process is the combined effect of the presence of both the forced and the free convection processes. In several applications such as environmental chambers, IC engines, etc. the forced convection is brought in by multiple suction/injection (S/I) effect. Study of mixed convection in a vertical squar...

This study examines the influence of multiple injection/suction at bottom/top walls on non-Darcy mixed convection flow in a vertical square enclosure filled with fluid saturated porous medium. The coupled non-linear partial differential equations modeling the fully developed Forchheimer extended Darcy flow are solved by finite element method. Detai...

Combined heat and mass transfer process by natural convection from a wavy vertical surface immersed in a fluid-saturated semi-infinite porous medium due to Soret and Dufour effects for Forchheimer extended non-Darcy model has been analyzed. A similarity transformation followed by a wavy to flat surface transformation is applied to the governing cou...

A numerical study is carried out for the singularly perturbed generalized HodgkinHuxley equation. The equation is nonlinear which mimics the ionic processes at a real nerve membrane. A small parameter called singular perturbation parameter is introduced in the highest order derivative term. Keeping other parameters fixed, as this singular perturbat...

The influence of suction/injection at bottom/top or top/bottom walls on non-Darcy mixed convection flow with a sinusoidally varying temperature on the left vertical wall in a two-dimensional square porous enclosure is analyzed. The Forchheimer extended Darcy model is considered for flow equations. The fully developed equations are nondimensionalize...

In this study, volume-averaged equations governing the steady mixed convection flow in a vertical square enclosure filled with a non-Darcian fluid-saturated homogeneous porous medium are investigated numerically by the Galerkin finite element method. The forced flow conditions are imposed by providing an inlet at the bottom wall and an outlet with...

In Part I [13] of the study the authors presented a detailed investigation on the non-Darcian mixed convection process with inlet/outlet windows at bottom/top walls. Here the investigation is continued with an exchange in inlet/outlet locations. The dramatic change in the physics of the convection process, i.e., in the flow and temperature distribu...

The pulsatile flow characteristics of a power law fluid in a channel filled with a homogeneous porous medium are investigated by employing the Darcy–Brinkman–Forchheimer model. Finite element method in conjunction with β-family of time discretization schemes for parabolic equation have been used to numerically solve the model for analyzing the flow...

A 35-year-old male was investigated for primary infertility. Clinical examination showed an intelligent man with normal facial appearance and moustache and small firm testes. Testicular histopathology revealed marked atrophy of the testes with no spermatogenesis and absence of germ cells. Hormonal profile showed elevated levels of FSH,LH and low le...