Linear radial flow of a viscous liquid between two parallel coaxial stationary infinite disks

Abstract

An analysis is presented for laminar radial flow due to a linear source between two parallel stationary infinite disks. The source strength varies according toQ=Q0(νt/h2) (t>0) and the solution is in the form of an infinite series in terms of a reduced Reynolds number\(R_a^* = \left( {\frac{{Q_0 }}{{4\pi h}}} \right)/\left( {\frac{r}{h}} \right)^2 \). The results are valid for small values ofRa* andt(=νt/h2). The effect of the parameterRa* on the radial velocity distribution, pressure distribution, shear stress at the upper disk at different times is discussed.