Hall Effect on MHD Flow and Heat Transfer Over an Unsteady Stretching Permeable Surface In the Presence of Thermal Radiation and a Heat Source/sink

e429e87c-83e3-477f-9e46-eb3d137a8e6f20220309090600881naun:naunmdt@crossref.orgMDT DepositInternational Journal of Geology1998-449910.46300/9105http://www.naun.org/cms.action?id=28303920223920221610.46300/9105.2022.16https://npublications.com/journals/geology/2022.phpHall Effect on MHD Flow and Heat Transfer Over an Unsteady Stretching Permeable Surface In the Presence of Thermal Radiation and a Heat Source/sinkS.ShateyiDepartment of Mathematics and Applied Mathematics, University of Venda, , X5050, 0950 South AfricaG.T.MarewoUniversity of Swaziland, Department of Mathematics, Private Bag 4, Kwaluseni, SwazilandThis paper employs the computational iterative approach known as Spectral Local Linearization Method (SLLM) to analyze Hall effect on MHD flow and heat transfer over an unsteady stretching permeable surface in the presence of thermal radiation and heat source/sink. To demonstrate the reliability of our proposed method, we made comparison with Matlab bvp4c routine technique and excellent agreement was observed. The governing partial equations are transformed into a system of ordinary differential equations by using suitable similarity transformations. The results are obtained for velocity, temperature, skin friction and Nusselt number.3920223920229143https://npublications.com/journals/geology/2022/a062004-003(2022).pdf10.46300/9105.2022.16.3https://npublications.com/journals/geology/2022/a062004-003(2022).pdf10.1002/aic.690070108B. C. Sakiadis, “Boundary-layer behaviour on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow,” AICHE J, 7, 26-28, (1961). 10.1002/aic.690070108B. C. Sakiadis, “Boundary-layer behaviour on continuous solid surfaces: II. Boundary-layer equations for two-dimensional and axisymmetric flow,” AICHE J, 7, 221-225, (1961). 10.1002/cjce.20499S. Shateyi and S. S. Motsa, ”Hydromagnetic Non-Darcy Flow, Heat And Mass Transfer Over A Stretching Sheet In The Presence Of Thermal Radiation And Ohmic Dissipation,” The canadian Journal of Chemical Engineering, 89, 13881400, (2011). 10.1155/2008/414830S. Shateyi, “Thermal radiation and buoyancy effects on heat and mass transfer over a semi-infinite stretching surface with suction and blowing,” Journal of Applied Mathematics, Volume 2008, doi.10.1155/2008/ 414830, 1-12, (2008). P. Singh, A. Jangid, N.S. Tomer and D. Sinha, “Effects of Thermal Radiation and Magnetic Field on Unsteady Stretching Permeable Sheet in Presence of Free Stream Velocity,” International Journal of Information and Mathematical Sciences, 6:3, 160-166, (2010). 10.1155/2009/965603S. Shateyi and S. S. Motsa, “Thermal radiation effects on heat and mass transfer over an unsteady stretching surface,” Mathematical Problems in Engineering, Vol 2009, doi:10.1155/2009/965603, 1- 13, (2009). 10.1155/2013/670205S. Shateyi, and G. T. Marewo, “A new numerical approach of MHD flow, heat and mass transfer for the UCM fluid over a stretching surface in the presence of thermal radiation,” Mathematical Problems in Engineering, Volume 2013, 1-8, doi.org/10.1155/2013/670205, (2013). 10.1155/2013/423628S. S. Motsa, “A New Spectral Local Linearizatio Method for Nonlinear Boundary Layer Flow Problems”, Journal of Applied Mathematics, Volume 2013, Article ID 423628, 1-15 http://dx.doi.org/10.1155/2013/423628, (2013). L. N. Trefethen, “Spectral Methods in MATLAB”, SIAM, Philadelphia, (2000). 10.1016/j.nonrwa.2008.09.010A. Ishak, R. Nazar and I. Pop, “Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature,” Nonlinear Analysis: Real World Applications, vol. 10, pp 2909- 2913, 2009.