Oscillatory magnetic effect on heat transfer of viscous fluid
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Date
2020
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Publisher
UMT, Lahore
Abstract
In this research, we have investigated the heat transfer with unsteady hydro magnetic free convection of an incompressible, linearly viscous, electrically conducting f luid near a vertical plate with constant heat. When a magnetic field having a ver itable directions is introduced then the flow domain will be porous half space. In order to introduce a thermal flux constitutive equation with a weakly memory, the Cuputo time fractional derivative is used. By using Laplace transform method we can obtained the exact solutions of the fractional governing differential equations for fluid temperature, velocity field, Nusselt number and skin frictions. Results taken out by using numerical calculations are illustrated with the graphical representation. In this research, we have compared the difference between the ordinary fluid and the fluid with thermal memory. We have also discussed the influence of the memory parame ters on the temperature and velocity field. It has been observed that when the value of time will be small the memory affects will become stronger and this will happen due to the evolution in the time of the Caputo power law kernel. We have also found by changing the inclination angle of the magnetic field’s direction, the fluid flow will be accelerated.