The paper investigates the revolving ferrofluid in a disk by considering the magnetic field-dependent viscosity. The boundary layer equation is obtained using Neuringer-Rosenweig model. The governing equations of the problem are as a system of nonlinear ordinary differential equations with the boundary conditions at infinity. These equations are solved using the Runge-Kutta-Fehlberg procedure. This method uses a shooting technique to transform the boundary value problems to an equal initial value problem. In the results of this paper, the supposed value of infinity is examined and the results are reported for different values of it. The transformed parameters for axial and radial velocities are presented for some cases.

revolving ferrofluid, magnetic field-dependent viscosity, Runge-Kutta-Fehlberg procedure, boundary value problems.