Thermal and velocity slip effects on Casson nanofluid flow over an inclined permeable stretching cylinder via collocation method

• Published in: International journal of heat and mass transfer Vol. 122; pp. 1255 - 1263
• Main Authors: Usman, M., Soomro, Feroz Ahmed, Ul Haq, Rizwan, Wang, W., Defterli, Ozlem
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.07.2018; Elsevier BV
• Subjects: Brownian motion; Coefficient of friction; Collocation method; Collocation methods; Computational fluid dynamics; Continuity (mathematics); Cylinders; Flow velocity; Fluid flow; Fluids; Inclined stretching cylinder; Magnetic fields; Magnetic permeability; Mass transfer; Mathematical models; Nanofluid; Nanofluids; Nonlinear equations; Numerical analysis; Numerical solution; Parameters; Partial differential equations; Physical properties; Skin friction; Slip; Slip flow; Stretching; Suction; Temperature; Thermal boundary layer; Slip flow; Inclined stretching cylinder; Collocation method; Nanofluid; Numerical solution
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2018.02.045

•Flow model is addressed for MHD non-Newtonian nanofluid along an inclined cylinder.•Thermal and velocity slips effects are considered at the inclined surface.•Brownian motion and thermophoresis effects are incorporated to deal the nanoparticle movement.•Collocation method is adopted to determine the solution of complex nature model.•Solutions are obtained for skin friction and Nusselt number for each kind of nanoparticles. The main emphasis of present work is to investigate the velocity and thermal slip effects on Casson nanofluid with heat and mass transfer phenomena over an inclined permeable stretching cylinder. The cylinder is subject to transverse magnetic field. Buongiorno’s model is adapted to study the Brownian motion and thermphoresis effects which play a dominant role in nanofluid. Governing set of equations are derived in terms of partial differential equations for Casson nanofluid model, consisting continuity, momentum, energy and concentration equation which are transformed into set of coupled nonlinear ordinary differential equations using similarity transformation. The numerical solution is obtained using collocation method. The literature survey shows that the present problem has not been studied before. Physical quantities of interest are nanofluid velocity, temperature, concentration, skin friction coefficient, Nusselt number and Sherwood number which are analyzed through graphs against the emerging physical parameters. It is found that Nb and Nt play a dominant role within the thermal and concentration boundary layer regions. In the same manner, suction parameter and both velocity and thermal slip parameters depicts the dynamic effects in the entire domain of stretching surface of the cylinder.