The classical Crane problem of the stretching sheet is extended to include temperature sensitivity of weakly electrically conducting Newtonian liquids. The thermo-rheological equation of state subscribed to in the problem involves an inverse relationship between dynamic viscosity and temperature. The problem is solved using the shooting technique with assistance from a series solution procedure. The Classical explicit Runge-Kutta fourth order method is used to solve the initial value problem by the shooting technique. The results show that the effect of variable viscosity is to hasten the boundary layer flow leading to an increase in heat transfer. The problem has applications in extrusion processes, thin films and such other applications.
Heat Transfer in a Stretching Sheet Problem in Electrically Conducting Newtonian Liquids With Temperature-Dependent Viscosity
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Sekhar, GN, & Chethan, AS. "Heat Transfer in a Stretching Sheet Problem in Electrically Conducting Newtonian Liquids With Temperature-Dependent Viscosity." Proceedings of the ASME 2010 International Mechanical Engineering Congress and Exposition. Volume 7: Fluid Flow, Heat Transfer and Thermal Systems, Parts A and B. Vancouver, British Columbia, Canada. November 12–18, 2010. pp. 635-644. ASME. https://doi.org/10.1115/IMECE2010-40400
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