Study the Effect of Variable Viscosity and Thermal Conductivity of
Micropolar Fluid past a Continuously Moving Plate with Suction or
Injection in Presence of Magnetic Field

Gitima Patowary; Dusmanta Kumar Sut

doi:https://doi.org/10.14445/22315373/IJMTT-V2I2P507

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 2 | Issue 2 | Year 2011 | Article Id. IJMTT-V2I2P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V2I2P507

Study the Effect of Variable Viscosity and Thermal Conductivity of Micropolar Fluid past a Continuously Moving Plate with Suction or Injection in Presence of Magnetic Field

Gitima Patowary, Dusmanta Kumar Sut

Citation :

Gitima Patowary, Dusmanta Kumar Sut, "Study the Effect of Variable Viscosity and Thermal Conductivity of Micropolar Fluid past a Continuously Moving Plate with Suction or Injection in Presence of Magnetic Field," International Journal of Mathematics Trends and Technology (IJMTT), vol. 2, no. 2, pp. 32-36, 2011. Crossref, https://doi.org/10.14445/22315373/IJMTT-V2I2P507

Abstract

This paper investigates the influence of thermal conductivity and variable viscosity on the problem of micropolar fluid with suction or injection in presence of magnetic field. The fluid viscosity is assumed to vary as an exponential function of temperature and the thermal conductivity is assumed to vary as an exponential function of temperature. The governing equations are approximated by a system of non linear ordinary differential equations and are solved numerically by using shooting method. Numerical results are presented for the distribution of velocity, microrotation and temperature profiles within the boundary layer.

Keywords

injection, suction, micropolar fluid, variable viscosity, variable thermal conductivity, shooting method

References

1. A. M. Salem, S. N. Odda, Influence of Thermal conductivity and veriable viscosity on the flow of a micropolar fluid past a continuously moving plate with suction or injection, The Korean Society for Industrial and Applied Mathematics (2005)
2. El-Arabay, Hassan A. M., Effect of suction/injection on the flow of a micropolar fluid past a continuously moving plate in the presence of radiation, Int. J. of Heat and Mass Transfer 46, pp. 1471-1477 (2003)
3. Hassanien, I. A., Flow and heat transfer on continuous stretching flat surface moving in a parallel free steam with variable properties, ZAAMZ, Angew Math. Mech. 79, pp. 786-792 (1999)
4. Karwe M. V., Y. Jaluria, Fluid flow and mixed convection transport from a moving plate in rolling and extrusion processes, J. Heat Transfer 110, 655-661 (1988) 5. Karwe M. V., Y. Jaluria, Numerical simulation of thermal transport associated with a moving flat sheet in materials processes, J. Heat Transfer 113 (1988)
6. Mansour, M. A., Mohammadein, A. A., El-Kabeir, S. M. M. and Gorila, R. S. R., Heat Transfer from moving surface in a micropolar fluid, Can. J. Phys. 88, pp. 463-471 (1999)
7. Sedeek, M. A., Flow of a magneto-micropolar lfuid past a continuously moving plate, Physics Letters A, 306, pp. 255-257 (2003)
8. Seddek M. A., Thermal radiation and buoyancy effects on MHD free convetion heat generation flow over an accelerating permeable surface with temperaturedependent viscosity, Cand. J. Phys. 79, pp. 725-732 (2001)
9. Slattery J. C., Momentums, energy and mass transfer in continua, McGraw-Hill, New York, 1972.
10. Soudalgekar V. M., Takhar H. S., Flow of a micropolar fluid on a continuous moving plate, Int. J. Eng. Sci. 21, pp. 961 (1983)