We study the heat transfer of a Magneto Hydrodynamic (MHD) boundary layer flow of a Newtonian fluid over a pervious shrinking sheet under the influence of thermal slip. The flow allows electric current to pass through. The governing PDEs are transformed into self-similar ODEs via Lie group analysis. We study the variations in the dimensionless quantities like velocity and temperature of the flow in terms of the different parameters involved in the problem. We discuss the thickness of the boundary layers under the influence of various parameters involved in the flow. Numerical simulations are carried out to explain and support the results obtained.

A theoretical model is developed to determine the axial temperature distribution of subcooled liquid. It is a simple function of a heat transfer and a condensation parameter. The proposed model satisfactorily correlates the measured bulk temperature profiles. The corresponding mid fraction is computed by using a new empirical slip correlation, valid in both subcooled and bulk boiling regions. The resulting axial void profile has been compared (over the entire heated length) with steam and water data from six different sources, covering a wide range of pressure, mass flux, surface heat flux, inlet subcooling and channel geometry. The method gives satisfactory agreement with experimental data.

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