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Abstract

This work deals with a novel numerical technique for similarity analysis of the effect of magnetic field on free convection in micropolar fluid about a vertical strip in the existence of mixed thermal boundary conditions and non-uniform wall concentration boundary conditions. The governing boundary layer equations of the physics of the present problem are cast into coupled nonlinear ordinary differential equations using the Lie Group point transformations. These resulted equations engaging in m which speculates the values zero,one and infinity leads to the prescriptive temperature case, prescriptive heat flux case and radiation boundary conditions case at wall, has been solved using the novel numerical technique, paired quasi-linearisation method (PQLM). The results obtained are corroborated and are establish to be matched with earlier works.

References

1. Buyuk & Ece, M. C. (1999, November). Natural convection to power-law fluids from a heated vertical plate under mixed thermal boundary conditions. In proceedings of the international mechanical engineering congress and exposition (IMECE), Nashville.

2. Canuto, C., Hussaini, M., Quarteroni, A., & Zang, T. A. (1988). Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin.

3. Ching-Yang Cheng. (2009). Natural convection heat transfer of non-newtonian fluids in porous media from a vertical cone under mixed thermal boundary conditions. International Communications in Heat and Mass Transfer, 36, 693-697.

4. Ece, M. C. (2005). Free-convection flow about a wedge under mixed thermal boundary conditions and a magnetic field. Heat and Mass Transfer, 41(4), 291-297.

5. Motsa, S. S. (2013). A new spectral local linearization method for nonlinear boundary layer flow problems. Journal of Applied Mathematics, 2013, 189 – 201.

6. Ramanaiah, G. & Malarvizhi, G. (1992). Free convection about a wedge and a cone subjected to mixed thermal boundary conditions. Acta Mechanica, 93, 119-123.

7. Sparrow, E. M., & Gregg, J. L. (1956). Laminar free convection from a vertical plate with uniform surface heat flux. ASME Trans. 78, 435-440.

Keywords

Mixed Thermal Boundary Conditions, Micropolar Fluid, MHD, Paired QLM