Nanofluids flow over a permeable unsteady stretching surface with non-uniform heat source/sink in the presence of inclined magnetic field

Abstract

This work analyzes the unsteady two-dimensional nanofluid flow over a vertical stretching permeable surface in the presence of an inclined magnetic field and nonuniform heat source/sink. Four different types of nanoparticles, namely silver Ag, copper Cu, alumina Al 2 O 3 , and titania TiO 2 , are considered by using water as a base fluid with the Prandtl number Pr = 6.785. The governing partial differential equations are transformed to coupled non-linear ordinary differential equations by appropriate similarity transformation. Furthermore, the similarity equations are solved numerically by using the fourth-order Runge-Kutta integration scheme with Newton Raphson shooting method. A comparison of obtained numerical results is made with previously published results in some special cases, and excellent agreement is noted. Numerical results for velocity and temperature profiles as well as skin friction coefficient and local Nusselt number are discussed for various values of physical parameters. It tends to be discovered that, the magnetic field inclination angle γ has the capability to strengthens the magnetic field and reduce the velocity profile of the flow. Also, it can be found that, by using various types of nanofluids, velocity and temperature distributions change, which means that the nanofluids are important in the cooling and heating processes. The thermal boundary layer thickness is related to the increased thermal conductivity of different types of nanofluids, i.e., the minimum (maximum) value of the temperature is obtained by adding titanium oxide (silver) to the fluid as the nanoparticles.

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

“…They implemented the Chebeshev collocation method to attain the desired results. Elgazery 23 presented the magnetic field impact on nanofluid flow over an unsteady permeable stretching surface by considering a nonuniform heat source/sink. Ibrahim and Tulu 24 researched the MHD flow of a nanofluid with heat transfer treatment embedded in porous media.…”

The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined Surface

“…A series of numerical calculations has been accomplished by employing a useful numerical technique called the Keller-box method on system of Equations (12)- (15) with their appropriate boundary settings (15) to achieve insight into the physical situation of flow configuration. These computations are attained for various values of Brownian motion factor Nb, thermophoresis assumed by Nt, magnetic factor M, buoyancy factor λ, solutal buoyancy constraint δ, inclination factor ζ, Prandtl number Pr, Lewis number Le, radiation effect N, Brinkman parameter β 1 , suction or injection parameter S, and material factor K, which are presented in different tables and figures.…”

“…Recently, Rafique et al [11] investigated the flow of Casson nanofluid towards an inclined surface. For details, see references [12][13][14][15][16][17][18][19][20].…”

Roles of nanoparticles and heat generation/absorption on MHD flow of Ag–H2O nanofluid via porous stretching/shrinking convergent/divergent channel

“…They also found that the rate of heat transfer declined as there was increase in the heat generation/absorption values. Similarly, in several other studies, the characteristic of heat transfer was analyzed due to the fluid flow over stretching sheet [18][19][20]. Ganga et al [21] explored viscous and Ohmic dissipation effects on MHD flow subjected to an upright plate in addition to heat generation/absorption effect on nanofluid.…”