Effects of injection (suction) on a steady mixed convection boundary layer flow over a vertical cone

Author:

Ravindran R.,Roy Satyajit,Momoniat E.

Abstract

PurposeThe purpose of this paper is to study the steady mixed convection flow over a vertical cone in the presence of surface mass transfer when the axis of the cone is inline with the flow.Design/methodology/approachIn this case, the numerical difficulties to obtain the non‐similar solution are overcome by applying an implicit finite difference scheme in combination with the quasilinearization technique.FindingsNumerical results are reported here to display the effects of Prandtl number, buoyancy and mass transfer (injection and suction) parameters at different stream‐wise locations on velocity and temperature profiles, and on skin friction and heat transfer coefficients.Research limitations/implicationsThermo‐physical properties of the fluid in the flow model are assumed to be constant except the density variations causing a body force term in the momentum equation. The Boussinesq approximation is invoked for the fluid properties to relate the density changes to temperature changes and to couple in this way the temperature field to the flow field.Practical implicationsConvective heat transfer over a stationary cone is important for the thermal design of various types of industrial equipments such as heat exchangers, conisters for nuclear waste disposal, nuclear reactor cooling systems and geothermal reservoirs, etc.Originality/valueThe combined effects of thermal diffusion and surface mass transfer on a vertical cone has been studied.

Publisher

Emerald

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference23 articles.

1. Anwar Hossain, Md. and Rama Subba Reddy Gorla (2006), “Effect of viscous dissipation on mixed convection flow of water near its density maximum in a rectangular enclosure with isothermal wall”, International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 16, pp. 5‐17.

2. Bejan, A. (2004), Convection Heat Transfer, John Wiley & Sons, Inc., New York, NY.

3. Bellman, R.E. and Kalaba, R.E. (1965), Quasilinearization and Non‐Linear Boundary Value Problems, American Elsevier Publishing Co. Inc., New York, NY.

4. Cruchaga, M. and Celentano, D. (2003), “Modelling natural and mixed convection in obstructed channels”, International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 13, pp. 57‐85.

5. Daskalakis, J.E. (1993), “Mixed free and forced convection in the incompressible boundary layer along a rotating vertical cylinder with fluid injection”, International Journal of Energy Research, Vol. 17, pp. 689‐95.

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