Abstract
An analysis of the hydromagnetic free convective flow past a vertical infinite porous plate in a rotating fluid is carried out. The temperatures involved are assumed to be very large so that the radiative heat transfer is significant, which renders the problem very non-linear even on the assumption of a differential approximation for the radiative flux. The temperature and velocity fields are computed using a generic software tool based on the Nakamura finite difference scheme. The genericity of the software tool is in the sense that it is a common solution to the category of time dependent laminar fluid flows expressed in one spatial coordinate. The input equations, together with other relevant parameters, are transformed into postfix code which will be farther interpreted in the computation process. The influence of the various parameters entering into the problem is shown graphically followed by a discussion of results.
Highlights
Extensive research efforts have been directed to the study of the theory of rotating fluids due to its application in Cosmical and Geophysical fluid dynamics, meteorology and engineering [1]
Naroua [7] presented a numerical simulation on un
Very large temperatures were assumed in the analysis in order to make the radiative heat transfer significant
Summary
Extensive research efforts have been directed to the study of the theory of rotating fluids due to its application in Cosmical and Geophysical fluid dynamics, meteorology and engineering [1]. The flow past a horizontal plate has been studied by [3]-[6] In all these investigations, the effects of radiative heat transfer have been ignored. (2016) A Computational Solution of Natural Convection Flow in a Rotating Fluid with Radiative Heat Transfer. Khader and Ahmed [10] introduced a numerical simulation using finite difference method with the theoretical study for the problem of the flow and heat transfer over an unsteady stretching sheet embedded in a porous medium in the presence of a thermal radiation. Matsuoka and Nakamura [11] proposed a stable numerical scheme for a Cahn-Hilliard type equation with long-range interaction describing the micro-phase separation of diblock copolymer melts They designed their scheme by using the discrete variational derivative method which is one of the structure preserving numerical methods. Where T ′ is the temperature of the fluid; subscript ∞ will be used to denote conditions in the undisturbed fluid and σ is the Stefan - Boltzmann constant
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