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This paper presents the effects of various properties on nanofluid flows and heat transfer over a permeable stretching sheet of variable thickness in the presence of a transverse magnetic field. Mathematically, the leading coupled partial differential equations are transformed into a self-similar system of ordinary differential equations through similarity variables, which are solved thereafter using Keller-box and Haar’s wavelet methods. Moreover, the impacts of various flow parameters involved in the physical problem are discussed thoroughly via tables and graphs. As findings, the analysis discloses that the nanofluid flow is significantly influenced by the physical parameters. Dynamically, the nanofluid flow is accelerated prominently with the strengthening in the injection process and decelerated in other situations. Furthermore, the obtained results are compared successfully with the earlier published findings. [ABSTRACT FROM AUTHOR]

The present investigation is to analysis the solution of steady state boundary layer flow and heat transfer past an exponential shrinking surface. The governing equations describes physics of the problem and are transformed into system of nonlinear ordinary differential equations through suitable similarity transformations. The similarity solutions of these equations are obtained by using semi-numerical technique, viz. shifted Chebyshev collocation method. The occurrence of dual solution is observed for both velocity and temperature profiles. The analysis shows, for a particular range of mass suction parameter, boundary layer flow over an exponential shrinking sheet is exist and enhancement in mass suction parameter increases the skin friction coefficient for the upper branch solution and reverse behavior is observed for lower branch solution. Whereas, both the solutions of temperature profiles decrease with increasing values of the Prandtl number. The computed results are validated with the earlier finding and are comparable. [ABSTRACT FROM AUTHOR]