Mathematical Study of Non-Newtonian Nanofluid Transport Phenomena From an Isothermal Sphere

Abstract

In this article, the heat, momentum and mass (species) transfer in external boundary layer flow of Casson nanofluid from an isothermal sphere surface is studied theoretically. The effects of Brownian motion and thermophoresis are incorporated in the model in the presence of both heat and nanoparticle mass transfer. The governing partial differential equations (PDEs) are transformed into highly nonlinear, coupled, multi-degree non-similar partial differential equations consisting of the momentum, energy and concentration equations via appropriate non-similarity transformations. These transformed conservation equations are solved subject to appropriate boundary conditions with a second order accurate finite difference method of the implicit type. The influences of the emerging parameters i.e. Casson fluid parameter (β), Buoyancy ratio parameter (N), Brownian motion parameter (Nb) and thermophoresis parameter (Nt), Lewis number (Le) and Prandtl number (Pr) on velocity, temperature and nano-particle concentration distributions are illustrated graphically and interpreted at length. Validation of solutions with a Nakamura tridiagonal method has been included.

Numerical simulation for the steady nanofluid boundary layer flow over a moving plate with suction and heat generation

“…The diminishing in the overall energy dispersion is as a result of thinner in the energy boundary layer that causes more heat to leave the system. This resulted in a decline in the quantity of heat transfer in the flow medium, the outcome supported the claim by Amanullah et al [11]. Figure 3a and b for the flow field and heat distribution demonstrate the same behaviour for copper water nanofluid with an increasing suction term (S).…”

“…Many robust mathematical formualtions have been developed for flow of nanoparticles through demanding foundational experimental data. Amanullah et al [11] examined computationally, the non-Newtonian nanofluid with different nanoparticles. Anwar et al [12] studied experimentally, the drilling lubricant fluids with nano particles and Bio convection lubricants [13].…”

MHD Casson Fluid Flow Along Inclined Plate With Hall and Aligned Magnetic Effects

“…Hussanan et al(2014) investigated Unsteady Boundary Layer Flow and Heat Transfer of a Casson Fluid Past an Oscillating Vertical Plate with Newtonian Heating. The convective boundary layer flow of Casson nanofluid from an isothermal sphere surface is presented by Nagendra et al (2017). Bhattacharyya (2013) examined the stagnation point flow of Casson fluid towards a shrinking/stretching sheet.…”

Numerical investigations on magnetic field modeling for Carreau non-Newtonian fluid flow past an isothermal sphere

“…Many studies of both momentum (hydrodynamic or velocity) slip and thermal slip on transport phenomena have also been reported. Amanulla et al [17,18] have used the MATLAB software to compute the influence of momentum and thermal jump convective conditions on two-dimensional viscoelastic boundary layers in nanofluid flows over a sphere. Sparrow et al [19] presented the first significant analysis of laminar slip-flow heat transfer for tubes with uniform heat flux, observing that momentum slip acts to improve heat transfer whereas thermal slip (or temperature jump) reduces heat transfer.…”