scholarly journals Effect of Variable Fluid Properties and Magneto-Hydrodynamics for Convection with Couple Stress Fluid

2021 ◽  
Vol 11 (5) ◽  
pp. 13490-13501
Keyword(s):  
Fluid Flow ◽  
Couple Stress ◽  
Heated Plate ◽  
First Order ◽  
Similarity Transformations ◽  
Flow Parameters ◽  
Variable Fluid Properties ◽  
Fluid Properties ◽  
Layer Flow ◽  
The Magnetic Field

An attempt is made for analyzing MHD mixed convection over a vertical heated plate with a couple of stress fluid numerically in a systematic manner. Unlike other research-based on literature surveys, the fluid properties are varied here where convection improves drastically compare to fixing them constantly. The boundary layer flow is estimated through mathematically formulated equations for the physical configuration considered. These formulated equations are very tedious to solve with specified boundary conditions in nature. Similarity transformations, RKF scheme, and NR method are used to convert those tedious non-linear PDE to higher-order ODE and hence to first order. Interpretation of various significant parameters is studied and observed their effects with momentum, energy, and solutal equations producing the fluid flow with the plotted graphs. The contribution of the Magnetic field is observed in velocity by reducing the force of the fluid flow. This work's main contribution is to see the effective convection with significant fluid flow parameters, with the inclusion variable fluid properties. Nu and Sh numbers are also computed. Certain added effects making them void are well suited and matched with researchers' previous works with a better agreement.

Shooting Method to Study Mixed Convection Past a Vertical Heated Plate with Variable Fluid Properties and Internal Heat Generation

2017 ◽  
Vol 13 (3) ◽  
pp. 31-50
Author(s):  
Nalinakshi N
Keyword(s):  
Porous Medium ◽  
Fluid Flow ◽  
Differential Equations ◽  
Mixed Convection ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Heated Plate ◽  
Variable Fluid Properties ◽  
Fluid Properties

Study of Mixed Convection past a vertical heated plate embedded in a sparsely packed porous medium with internal heat generation and variable fluid properties like permeability, porosity and thermal conductivity has been carried out numerically. In this analysis, the governing highly non-linear coupled partial differential equations are transformed into a system of ordinary differential equations with the help of similarity transformations and solved them numerically by using the shooting algorithm with Runge-Kutta-Fehlberg scheme and Newton Raphson method to obtain velocity, temperature and concentration distributions. The features of fluid flow, heat and mass transfer characteristics are analyzed by plotting the graphs and the physical aspects are discussed in detail to interpret the effect of various significant parameters of the problem. The results obtained show that the impact of buoyancy ratio parameter, Prandtl number Pr, Schmidt number Sc and other parameters plays an important role in the fluid flow through porous medium. The obtained results are compared with previously published work of

Effects of Mixed Convection on the Oscillatory Flow of a Couple Stress Fluid through a Vertical Plate with Variable Fluid Properties

2018 ◽  
Vol 388 ◽  
pp. 328-343
Author(s):  
R. Suresh Babu ◽  
B. Rushi Kumar ◽  
P.A. Dinesh
Keyword(s):  
Magnetic Field ◽  
Couple Stress ◽  
Vertical Plate ◽  
Couple Stress Fluid ◽  
Electrically Conducting ◽  
Coupled Equations ◽  
Variable Permeability ◽  
Variable Fluid Properties ◽  
Fluid Properties ◽  
Dimensional Parameters

A numerical computation has been carriedout for the steady, mixed convective, incompressible, viscous, electrically conducting couple stress fluid through a vertical plate with variable fluid properties in a porous medium. A uniform magnetic field is applied in the transverse direction and parallel to the vertical plate of the physical model and governing equations are derived for it."Using a suitable similarity transformation, governed PDE's are transformed into a set of ODE's which are highly non-linear coupled equations. An advanced Shooting technique is adopted to compute the variations of velocity, temperature, concentration in terms of non-dimensional parameters. Also physical interpretation of non-dimensional parameters like couple stress parameter magnetic field Prandtl number Schmidt number thermal conductivity and solutal diffusivity parameters are examined through plots for both variable permeability and uniform permeability."From the numerical results, an excellent agreement has been observed for the present results, as well as comparison is made between the present and the earlier works for a particular case of the problem.

scholarly journals Boundary Layer Flow and Heat Transfer with Variable Fluid Properties on a Moving Flat Plate in a Parallel Free Stream

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Norfifah Bachok ◽  
Anuar Ishak ◽  
Ioan Pop
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Flat Plate ◽  
Boundary Layer Flow ◽  
Free Stream ◽  
Fluid Viscosity ◽  
Flow And Heat Transfer ◽  
Variable Fluid Properties ◽  
Fluid Properties ◽  
Layer Flow

The steady boundary layer flow and heat transfer of a viscous fluid on a moving flat plate in a parallel free stream with variable fluid properties are studied. Two special cases, namely, constant fluid properties and variable fluid viscosity, are considered. The transformed boundary layer equations are solved numerically by a finite-difference scheme known as Keller-box method. Numerical results for the flow and the thermal fields for both cases are obtained for various values of the free stream parameter and the Prandtl number. It is found that dual solutions exist for both cases when the fluid and the plate move in the opposite directions. Moreover, fluid with constant properties shows drag reduction characteristics compared to fluid with variable viscosity.

BIOCONVECTION IN A NON-DARCY POROUS MEDIUM SATURATED WITH A NANOFLUID AND OXYTACTIC MICRO-ORGANISMS

2014 ◽  
Vol 07 (01) ◽  
pp. 1450005 ◽  
Author(s):  
S. SHAW ◽  
P. K. KAMESWARAN ◽  
M. NARAYANA ◽  
P. SIBANDA
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Nonlinear Ordinary Differential Equations ◽  
Horizontal Plate ◽  
Nanoparticle Concentration ◽  
Transfer Rates ◽  
Similarity Transformations ◽  
Fluid Properties ◽  
Layer Flow ◽  
Micro Organisms

The aim of this paper is to present a continuum model for bioconvection of oxytactic micro-organisms in a non-Darcy porous medium and to investigate the effects of bioconvection and mixed convection on the steady boundary layer flow past a horizontal plate embedded in a porous medium filled with a water-based nanofluid. The governing partial differential equations for momentum, heat, oxygen and micro-organism conservation are reduced to a set of nonlinear ordinary differential equations using similarity transformations that are numerically solved using a built-in MATLAB ODE solver. The effects of the bioconvection parameters on the nanofluid fluid properties, nanoparticle concentration and the density of the micro-organism are analyzed. A comparative analysis of our results with those previously reported in the literature is given. Among the significant findings in this study is that bioconvection parameters highly influence heat, mass and motile micro-organism transfer rates.

Melting effect on non-Newtonian fluid flow in gyrotactic microorganism saturated non-darcy porous media with variable fluid properties

2020 ◽  
Vol 10 (10) ◽  
pp. 3911-3924
Author(s):  
Nayema Islam Nima ◽  
S. O. Salawu ◽  
M. Ferdows ◽  
MD. Shamshuddin ◽  
Abdulaziz Alsenafi ◽  
...  
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Variable Fluid Properties ◽  
Fluid Properties ◽  
Gyrotactic Microorganism ◽  
Melting Effect
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