Abstract
The purpose of this paper is to present the Cattaneo–Christov heat flux model for Maxwell fluid past a stretching surface where the presence of suction/injection is taken into account. The governing system of equations is reduced to the ordinary differential equations with the boundary conditions by similarity transformation. These equations are then solved numerically by two approaches, Haar wavelet quasilinearization method (HWQM) and Runge–Kutta–Gill method (RK Gill). The behavior of various pertinent parameters on velocity and temperature distributions is analyzed and discussed. Comparison of the obtained numerical results is made between both methods and with the existing numerical solutions found in the literature, and reasonable agreement is noted.
Highlights
The phenomenon of heat transfer exists due to the difference in temperature between objects or between different parts of the same object
The computations for Haar wavelet quasilinearization method (HWQM) and Runge–Kutta–Gill method (RK Gill) were performed by using MATLAB
At any value of γ, there is no effect of changing in the value of heat flux relaxation because equation (6) does not have a direct impact on γ. This table shows that the value of the surface temperature θ (0) decreases with the increase in heat flux relaxation, but it tends to increase with the enhanced elasticity number, which is opposite to the effect on the surface friction coefficient
Summary
The phenomenon of heat transfer exists due to the difference in temperature between objects or between different parts of the same object. The well-known heat conduction law, known as Fourier’s law, proposed by Fourier [1] provides an insight into the heat transfer analysis. This law causes a parabolic energy equation, which means that any initial disturbance is instantly felt through the medium under consideration. Christov [3] made some modification on the Cattaneo model by replacing the ordinary derivative with Oldroyd’s upper-convected derivative. This model is recognized as Cattaneo– Christov heat flux model in the literature. By using the Cattaneo–Christov model, Tibullo and Zampoli [6] studied the uniqueness of solutions for incompressible fluid
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