Abstract
In this article, the entropy generation characteristics of a laminar unsteady MHD boundary layer flow are analysed numerically for an incompressible, electrically conducting and dissipative fluid. The Ohmic heating and energy dissipation effects are added to the energy equation. The modelled dimensional transport equations are altered into dimensionless self-similar partial differential equations (PDEs) through suitable transformations. The reduced momentum and energy equations are then worked out numerically by employing a new hybrid method called the Gear-Generalized Differential Quadrature Method (GGDQM). The obtained numerical results are incorporated in the calculation of the Bejan number and dimensionless entropy generation. Quantities of physical interest, like velocity, temperature, shear stress and heat transfer rate, are illustrated graphically as well as in tabular form. Impacts of involved parameters are examined and discussed thoroughly in this investigation. Exact and GGDQM solutions are compared for special cases of initial unsteady flow and final steady state flow. Furthermore, a good harmony is observed between the results of GGDQM and those given previously by the Spectral Relaxation Method (SRM), Spectral Quasilinearization Method (SQLM) and Spectral Perturbation Method (SPM).
Highlights
Entropy is an assessment of molecular chaos or its randomness
Entropy generation determines the level of irreversibilities that accumulate during a process
Time-dependent boundary layer flow over a stretching sheet in a rotating fluid is examined by Nazar et al [24]
Summary
Entropy is an assessment of molecular chaos or its randomness. As a thermally dynamic system becomes more disordered, the locations of the molecules become more and more uncertain and their positions become less predictable and the entropy increases. Time-dependent boundary layer flow over a stretching sheet in a rotating fluid is examined by Nazar et al [24] They computed the numerical explanation of the problem by the Keller box method. Motsa and Makukula [28] studied the heat and mass transfer analysis of boundary layer flow of rotating fluid over a stretching sheet. Motsa [29] applied spectral homotopy analysis and local linearization method to solve self-similar equations of unsteady boundary layer flow induced by an impulsive stretching sheet. The present study concentrates on the heat transfer and entropy analyses of a magnetohydrodynamic unsteady flow of dissipative fluid with the existence of Lorentz force. Thegraphical innovation of the current study lies essentially the use the of ainfluences new hybrid method key parameters, such as Prandtl number Pr, magnetic parameter
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