Abstract
In this article, the effects of thermo-physical parameters on free convective flow of a chemically reactive power law fluid driven by exothermal plate is studied. The effect of thermal radiation on the fluid flow is investigated. Also, an exothermal surface reaction modeled by Arrhenius kinetics supplied heat to the power law fluid. Suitable similarity transformations are used to transform the non-linear partial differential equations into system of non-linear coupled ordinary differential equations. The obtained coupled non-linear ordinary differential equations are then solved numerically via fourth-order Runge-Kutta Fehlberg method. A parametric study is performed to illustrate the influence of thermal conductivity parameter, Grashof number, power-law index, velocity exponent parameter, Prandtl number, heat generation parameter, magnetic parameter, Eckert number, radiation parameter, Frank-Kamenetskii parameter, activation energy parameter, Brinkman number, reactant consumption parameter, and suction parameter on the fluid velocity and temperature profiles within the boundary layer. Numerical values of different controlling parameters for local skin friction coefficient and local Nusselt number are obtained and discussed. Comparison of the present work with existing literature was carried out and the results are in excellent agreement. The results also shows that skin friction coefficient decreases with increase in Eckert number, while the rate of heat transfer is enhanced at the surface of the plate as the Eckert number increase.
Highlights
In recent times, the study of non-Newtonian fluid flow and heat transfer over a stretching surface has gained interest in many fields of science and technology due to its variety of engineering applications in the movement of biological fluids, manufacturing of plastic sheets, performance of lubricants, drilling muds and food processing
The effects of the various parameters such as the thermal conductivity parameter Λ, the Grashof number Gr, power-law index n, velocity exponent parameter m, the Prandtl number Pr, the heat generation parameter S, the magnetic parameter M, the Eckert number Ec, the radiation parameter Ra, the Frank-Kamenetskii parameter δ, the activation energy parameter ε, the Brinkman number Br, the reactant consumption parameter Ω, and the local suction or injection parameter fw on the fluid flow and temperature are shown via tables and graphs
The effect of thermo-physical parameters on free convective flow of a chemically reactive power law fluid driven by exothermal plate in the presence of thermal radiation and suction has been investigated
Summary
The study of non-Newtonian fluid flow and heat transfer over a stretching surface has gained interest in many fields of science and technology due to its variety of engineering applications in the movement of biological fluids, manufacturing of plastic sheets, performance of lubricants, drilling muds and food processing. As a result of these differences, quite a lot of mathematical expressions of varying complexity and form have been proposed in the literature to model non-Newtonian fluids [1,2,3,4,5], keeping in view their numerous rheological characteristics. One of such model is the power-law fluid which is the simplest and the most common model. The relationship between shear stress and shear rate for this type of fluid can be mathematically expressed as follows [1]:
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