Abstract
Problem statement: A steady two-dimensional free convection and mass transfer flow past a continuously moving semi-infinite flat plate is studied theoretically, by taking into account the viscous dissipation effect. Approach: The governing equations are transformed into a set of simultaneous ordinary differential equation by using suitable similarity transformations. The coupled differential equations are integrated using the Runge-Kutta Gill method together with the shooting technique. Results: Numerical results were presented for the distribution of velocity, temperature and concentration profiles within the boundary layer. Conclusion: The effects of varying parameter Gb, the Gebhart number, Sc, Schmidt number and Pr, Prandtl number on the velocity, temperature and concentration profiles were displayed graphically for different values of parameters entering into the problem. Significant changes were observed in heat and mass transfer coefficient, due to viscous dissipation in the medium. In addition, the skin-friction coefficient, Nusselt number and Sherwood number were shown in a tabular form.
Highlights
Owing to their numerous applications in industrial manufacturing process, the problem of heat and mass transfer in the boundary layers of a continuously moving semi-infinite flat plate has attracted the attention of researchers for the past 3 decades
This effect is of particular significant in natural convection in various devices that are subjected to large variation of gravitational force or that operate at high rotational speeds, pointed by Gebhart (1962) in his study of viscous dissipation on natural convection in fluids
The analysis showed that the viscous dissipation continuously moving semi-infinite flat plate
Summary
Owing to their numerous applications in industrial manufacturing process, the problem of heat and mass transfer in the boundary layers of a continuously moving semi-infinite flat plate has attracted the attention of researchers for the past 3 decades. Many authors have attacked this problem, this attack has been limited to some constrains on the surface velocity and temperature distribution In addition to these investigations, experimental and theoretical studies of the flow and temperature fields in the boundary layer on a continuous moving surface have been made by Tsou et al (1967) for different values of the Prandtl number. Appears as a source term in the fluid flow generates appreciable temperature, gives the rate at which mechanical energy is converted into heat in a viscous fluid per unit volume This effect is of particular significant in natural convection in various devices that are subjected to large variation of gravitational force or that operate at high rotational speeds, pointed by Gebhart (1962) in his study of viscous dissipation on natural convection in fluids. Similarity solutions for the same problem with exponential variation of wall
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