Abstract

Casson nanofluid, unsteady flow over an isothermal vertical plate with Newtonian heating (NH) is investigated. Sodium alginate (base fluid)is taken as counter example of Casson fluid. MHD and porosity effects are considered. Effects of thermal radiation along with heat generation are examined. Sodium alginate with Silver, Titanium oxide, Copper and Aluminum oxide are added as nano particles. Initial value problem with physical boundary condition is solved by using Laplace transform method. Exact results are obtained for temperature and velocity fields. Skin-friction and Nusselt number are calculated. The obtained results are analyzed graphically for emerging flow parameters and discussed. It is bring into being that temperature and velocity profile are decreasing with increasing nano particles volume fraction.

Highlights

  • Nanofluid was first investigated by Choi[33]

  • MHD flow of Casson fluid with heat transfer and Newtonian heating is analyzed by Hussanan et al.[51]

  • Silver (Ag), Titanium oxide (TiO2), Copper (Cu) and Aluminum oxide (Al2O3) are nano particles suspended in base fluid

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Summary

With Newtonian Heating

Arshad Khan[1], Dolat Khan[2], Ilyas Khan[3], Farhad Ali[4,6], Faizan ul Karim2 & Muhammad Imran[5]. Unsteady flow over an isothermal vertical plate with Newtonian heating (NH) is investigated. The entropy analysis for nanofluid with different type of nano particles and water type base fluid for unsteady MHD flow was studied by[8]. The effects of heat transfer on MHD nanofluid in a porous semi annulus has investigated by[10] using numerical methods. The influence of external magnetic field for nanofluid as water is a base fluid of free convection flow is studied in[19]. Hussanan et al.[49] investigates the unsteady heat transfer flow of a non-Newtonian Casson fluid over an oscillating perpendicular plate with Newtonian heating. Imran et al.[50] analyzed the effect of Newtonian heating with slip condition on MHD flow of Casson fluid.

Mathematical Modeling and solution of the Problem
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