scholarly journals Effects of Hall current on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate with Newtonian heating

2016 ◽  
Vol 21 (1) ◽  
pp. 187-203 ◽  
Author(s):  
G.S. Seth ◽  
S. Sarkar ◽  
R. Sharma
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Free Convection ◽  
Vertical Plate ◽  
Numerical Solutions ◽  
Hall Current ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Partial Differential ◽  
Present Solution

Abstract An investigation of unsteady hydromagnetic free convection flow of a viscous, incompressible and electrically conducting fluid past an impulsively moving vertical plate with Newtonian surface heating embedded in a porous medium taking into account the effects of Hall current is carried out. The governing partial differential equations are first subjected to the Laplace transformation and then inverted numerically using INVLAP routine of Matlab. The governing partial differential equations are also solved numerically by the Crank-Nicolson implicit finite difference scheme and a comparison has been provided between the two solutions. The numerical solutions for velocity and temperature are plotted graphically whereas the numerical results of skin friction and the Nusselt number are presented in tabular form for various parameters of interest. The present solution in special case is compared with a previously obtained solution and is found to be in excellent agreement.

scholarly journals Numerical Solutions of Hybrid Nanofluids Flow Via Free Convection Over a Solid Sphere

2021 ◽  
Vol 83 (1) ◽  
pp. 34-45
Author(s):  
Mohammed Zaki Swalmeh
Keyword(s):  
Heat Transfer ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Free Convection ◽  
Numerical Solutions ◽  
Solid Sphere ◽  
Hybrid Nanofluid ◽  
Nanofluid Flow ◽  
Partial Differential ◽  
Hybrid Nanofluids

The purpose of the existing study is to examine how heat transfer enables consolidated by variations in the basic advantages of fluids in the existence of free convection with the assistance of suspended hybrid nanofluids. Iron-graphene oxide suspended in water as a hybrid nanofluid flow on a solid sphere is also considered in this work. The partial differential equations are gotten, for this problem, by transforming the mathematical governing equations using similarity equations (stream function). These partial differential equations are solved numerically by Keller-Box method and programmed by MATLAB program. the acquired numerical results are in excellent agreement with the preceding literature results. Graphical results of the influence of the hybrid nanofluid parameters on some physical quantities regarded to examine the behavior of hybrid nanofluid flow were attained, and they proved that hybrid nanofluid flow represents a more essential role in the operation of heat transfer than a regular nanofluid flow.

Free Convection From a Vertical Plate With Nonuniform Surface Temperature and Embedded in a Porous Medium

1987 ◽  
Vol 109 (1) ◽  
pp. 26-30 ◽  
Author(s):  
R. S. R. Gorla ◽  
A. H. Zinalabedini
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Surface Temperature ◽  
Energy Equation ◽  
Vertical Plate ◽  
Numerical Solutions ◽  
Convection Flow ◽  
Published Data ◽  
Universal Functions ◽  
Free Convection Flow

A procedure is described for the calculation of heat transfer due to free convection flow along a vertical plate embedded in a porous medium with an arbitrarily varying surface temperature. By applying the appropriate coordinate transformations and the Merk series, the governing energy equation is expressed as a set of orindary differential equations. Numerical solutions are presented for these equations which represent universal functions and the surface gradients of these universal functions are tabulated. Several computational examples are provided and the results are compared with published data in the case of two examples.

scholarly journals Combined Effects of Thermal Radiation and Nanoparticles on Free Convection Flow and Heat Transfer of Casson Fluid over a Vertical Plate

2018 ◽  
Vol 2018 ◽  
pp. 1-25 ◽  
Author(s):  
M. G. Sobamowo
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Free Convection ◽  
Thermal Radiation ◽  
Vertical Plate ◽  
Volume Fraction ◽  
Casson Fluid ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Flow And Heat Transfer

The influences of thermal radiation and nanoparticles on free convection flow and heat transfer of Casson nanofluids over a vertical plate are investigated. The governing systems of nonlinear partial differential equations of the flow and heat transfer processes are converted to systems of nonlinear ordinary differential equations through similarity transformations. The resulting systems of fully coupled nonlinear ordinary differential equations are solved using the differential transformation method with Padé-approximant technique. The accuracies of the developed analytical methods are verified by comparing their results with the results of past works as presented in the literature. Thereafter, the analytical solutions are used to investigate the effects of thermal radiation, Prandtl number, nanoparticle volume fraction, shape, and type on the flow and heat transfer behaviour of various nanofluids over the flat plate. It is observed that both the velocity and temperature of the nanofluid as well as the viscous and thermal boundary layers increase with increase in the thermal radiation parameter. The velocity of the nanofluid decreases and the temperature of the nanofluid increase, respectively, as the Prandtl number and volume fraction of the nanoparticles in the base fluid increase. The decrease in velocity and increase in temperature are highest in lamina-shaped nanoparticle and followed by platelet-, cylinder-, brick-, and sphere-shaped nanoparticles, respectively. Using a common base fluid to all the nanoparticle types, it is established that the decrease in velocity and increase in temperature are highest in TiO2 and followed by CuO, Al2O3, and SWCNT nanoparticles, in that order. It is hoped that the present study will enhance the understanding of free convection boundary layer problems of Casson fluid under the influences of thermal radiation and nanoparticles as applied in various engineering processes.

scholarly journals Numerical study of thermal radiation and mass transfer effects on free convection flow over a moving vertical porous plate using cubic B-spline collocation method

2019 ◽  
Vol 27 (1) ◽  
Author(s):  
M. Abu zeid ◽  
Khalid K. Ali ◽  
M. A. Shaalan ◽  
K. R. Raslan
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Free Convection ◽  
Thermal Radiation ◽  
Porous Plate ◽  
Convection Flow ◽  
Spline Collocation ◽  
Free Convection Flow ◽  
B Spline ◽  
Vertical Porous Plate

Abstract In this paper, we present a numerical method based on cubic B-spline function for studying the effects of thermal radiation and mass transfer on free convection flow over a moving vertical porous plate. Similarity transformations reduced the governing partial differential equations of the fluid flow to a system of nonlinear ordinary differential equations which are solved numerically using a cubic B-spline collocation method. The effects of various physical parameters on the velocity, temperature, and concentration distributions are shown graphically, and the numerical values of physical quantities like skin friction, Nusselt number, and Sherwood number for various parameters are presented in tabular form and discussed.

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