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

A Study of Double Diffusive Free Convection From a Corrugated Vertical Surface in a Darcy Porous Medium Under Soret and Dufour effects

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 approximation are reduced to boundary layer equations. A finite difference scheme based on the Keller-Box approach has been used in conjunction with block-tridiagonal solver for obtaining the solution for boundary layer equations. Results from the current study are compared with those available in literature. The effect of various parameters such as wave amplitude (a), Lewis number (Le), buoyancy ratio (B), and Soret (Sr) and Dufour (Df) numbers are analyzed through local and average Nusselt number, and local and average Sherwood number plots.

A Finite Element Study of Double Diffusive Mixed Convection in a Concentration Stratified Darcian Fluid Saturated Porous Enclosure under Injection/Suction Effect

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 hot but isothermal temperature on the left vertical wall together with Boussinesq approximation on density. Numerical results are presented by tracing the cumulative heat and mass fluxes, streamline and isotherms of the fluid for a wide range of governing parameters such as suction/injection velocity “𝑎”, suction/injection width (𝐷/𝐻), mass stratification parameters (𝑆𝐶), Rayleigh number “Ra”, buoyancy ratio “𝐵”, and Lewis number “Le”.

A parallel finite element study of 3D mixed convection in a fluid saturated cubic porous enclosure under injection/suction effect

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 algorithms are designed for efficient implementation on a cluster of PCs called ANUCLUSTER under ANULIB parallel processing environment. The parallel numerical simulations are carried out for various values of Ra and for different sizes of isothermal hot cubical objects. Results have been presented in the form of Nusselt number, temperature and velocity vector plots.

MHD forces on double diffusive free convection process along a vertical wavy surface embedded in a doubly stratified fluid-saturated Darcy porous medium under the influence of Soret and Dufour effect

Abstract 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 transformed to boundary layer equations using the two point local non-similarity transformation which is obtained by scale analysis. The resulting boundary layer equations are solved numerically by applying the Keller Box finite difference scheme. The heat and mass transfer has been analysed by plotting the Local, Average Nusselt and Sherwood numbers for various values of parameters influencing the model like: (Magnetic field effect), a (amplitude of wavy surface), and (Thermal and Mass Stratification), (Soret number), (Dufour number), Buoyancy ratio (B), Lewis number (Le).

A NUMERICAL STUDY OF PULSATILE POWER LAW FLUID FLOW IN A POROUS CHANNEL

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. Influence of various parameters, such as power law index (n), Darcy number (Da*), Forchheimer coefficient (Γ), pulsatile amplitude parameter (A), and Womerseley parameter (α), on the flow properties have been analyzed. Increasing Γ or decreasing Da* leads to decrease in velocities and shear stress for all values of n.