A class of new exact solutions of the equations governing the steady plane flows of incompressible fluid of variable viscosity

  • Authors

    • Rana Khalid Naeem Department of Mathematics, University of karachi, Karachi-75270
    • Mushtaq Ahmed
    2015-11-07
    https://doi.org/10.14419/ijbas.v4i4.5064

  • Abstract

    The objective of this paper is to indicate a class of new exact solutions of the equations governing the steady plane flows of incompressible fluid of variable viscosity. The class consists of the stream function characterized by equation (2). Exact solutions are determined for  and  When is arbitrary we can construct an infinite set of streamlines and the velocity components, viscosity function, generalized energy function  and temperature distribution . Therefore, an infinite set of solutions to flow equations. When  is not arbitrary, there are two values of  and therefore, two exact solutions to flow equations. The streamlines are presented through Fig.(1–56) for some chosen from of f(r).

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  • How to Cite

    Naeem, R. K., & Ahmed, M. (2015). A class of new exact solutions of the equations governing the steady plane flows of incompressible fluid of variable viscosity. International Journal of Basic and Applied Sciences, 4(4), 429-465. https://doi.org/10.14419/ijbas.v4i4.5064

    Received date: 2015-07-14

    Accepted date: 2015-10-09

    Published date: 2015-11-07