Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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INFLUENCE OF HALL CURRENT AND HEAT SOURCE ON MHD FLOW OF A ROTATING FLUID IN A PARALLEL POROUS PLATE CHANNEL

  • VENKATESWARLU, M. (DEPARTMENT OF MATHEMATICS, V. R. SIDDHARTHA ENGINEERING COLLEGE, KRISHNA (DIST)) ;
  • UPENDER REDDY, G. (DEPARTMENT OF MATHEMATICS, MAHATMA GANDHI UNIVERSITY) ;
  • VENKATA LAKSHMI, D. (DEPARTMENT OF MATHEMATICS, BAPATLA WOMEN'S ENGINEERING COLLEGE)
  • Received : 2018.04.10
  • Accepted : 2018.12.06
  • Published : 2018.12.25
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Abstract

This paper examined the MHD and thermal behavior of unsteady mixed convection flow of a rotating fluid in a porous parallel plate channel in the presence of Hall current and heat source. The exact solutions of the concentration, energy and momentum equations are obtained. The influence of each governing parameter on non dimensional velocity, temperature, concentration, skin friction coefficient, rate of heat transfer and rate of mass transfer at the porous parallel plate channel surfaces is discussed. During the course of numerical computation, it is observed that as Hall current parameter and Soret number at the porous channel surfaces increases, the primary and secondary velocity profiles are increases while the primary and secondary skin friction coefficients are increases at the cold wall and decreases at the heated wall. In particular, it is noticed that a reverse trend in case of heat source parameter.

Keywords

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FIGURE 1. Geometry of the problem.

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FIGURE 2. Influence of K2 on fluid primary velocity and secondary velocity.

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FIGURE 3. Influence of λ on fluid primary velocity and secondary velocity.

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FIGURE 4. Influence of m on fluid primary velocity and secondary velocity.

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FIGURE 5. Influence of Gr on fluid primary velocity and secondary velocity.

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FIGURE 6. Influence of Gm on fluid primary velocity and secondary velocity.

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FIGURE 7. Influence of M on fluid primary velocity and secondary velocity.

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FIGURE 8. Influence of K on fluid primary velocity and secondary velocity.

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FIGURE 9. Influence of Pr on fluid primary velocity and secondary velocity.

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FIGURE 10. Influence of Pr on temperature.

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FIGURE 11. Influence of Pr on concentration.

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FIGURE 12. Influence of H on fluid primary velocity and secondary velocity.

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FIGURE 13. Influence of H on temperature.

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FIGURE 14. Influence of H on concentration.

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FIGURE 15. Influence of Sc on fluid primary velocity and secondary velocity.

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FIGURE 16. Influence of Sc on concentration.

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FIGURE 17. Influence of Sr on fluid primary velocity and secondary velocity.

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FIGURE 18. Influence of Sr on concentration.

TABLE 1. Influence of K2, m, λ and M on the skin friction coefficient.

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TABLE 2. Influence of K, Gr, Gm and Pr on the skin friction coefficient.

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TABLE 3. Influence of H , Sc and Sr on the skin friction coefficient.

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TABLE 4. Influence of Pr and H on the heat transfer coefficient.

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TABLE 5. Influence of H , Sc, Sr and Pr on the mass transfer coefficient.

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