A class of exact solutions of equations for plane steady motion of incompressible fluids of variable viscosity in presence of body force

 
 
 
  • Abstract
  • Keywords
  • References
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  • Abstract


    This paper determines a class of exact solutions for plane steady motion of incompressible fluids of variable viscosity with body force term in the Navier-Stokes equations. The class consists of stream function  characterized by equation , in polar coordinates ,  where ,  and  are continuously differentiable functions, derivative of  is non-zero but double derivative of  is zero. We find exact solutions, for a suitable component of body force, considering two cases based on velocity profile. The first case fixes both the functions ,  and provides viscosity as function of temperature. Where as the second case fixes the function , leaves  arbitrary and provides viscosity and temperature for the arbitrary function . In both the cases, we can create infinite set of expressions for streamlines, viscosity function, generalized energy function and temperature distribution in the presence of body force.

     

     


  • Keywords


    Exact Solutions in the Presence of Body Force; Exact Solutions for Incompressible Fluids; Variable Viscosity Fluids; Na-Vier-Stokes Equations with Body Force; Martin’s Coordinates.

  • References


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Article ID: 12326
 
DOI: 10.14419/ijamr.v7i3.12326




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