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- W2810362844 abstract "This paper is to indicate a class of new exact solutions of the equations governing the two-dimensional steady motion of incompressible fluid of variable viscosity in the presence of body force. The class consists of the stream function $psi$ characterized by equation $theta=f(r)+ a psi + b $ in polar coordinates $r$, $theta$ , where a continuously differentiable function is $f(r)$ and $aneq 0 , b $ are constants. The exact solutions are determined for given one component of the body force, for both the cases when $f(r)$ is arbitrary and when it is not. When $f(r)$ is arbitrary, we find $a=1$ and we can construct an infinite set of streamlines and the velocity components, viscosity function, generalized energy function and temperature distribution for the cases when $R_{e}P_{r}=1$ and when $R_{e}P_{r}neq 1$ where $R_{e}$ represents Reynolds number and $P_{r}$Prandtl number. For the case when $f(r)$ is not arbitrary we can find solutions for the cases $R_{e}P_{r}neq a$ and $R_{e}P_{r}=a$ where $a$ remains arbitrary." @default.
- W2810362844 created "2018-07-10" @default.
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- W2810362844 date "2018-02-14" @default.
- W2810362844 modified "2023-09-26" @default.
- W2810362844 title "A Class of New Exact Solutions of Navier-Stokes Equations with Body Force For Viscous Incompressible Fluid" @default.
- W2810362844 doi "https://doi.org/10.14419/ijamr.v7i1.8836" @default.
- W2810362844 hasPublicationYear "2018" @default.
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