MHD mixed convection nanofluid flow and heat transfer over an inclined cylinder due to velocity and thermal slip effects: Buongiorno's model

The mathematical modeling of dusty Cu-Al2O3/water nanofluid flow driven by a permeable deformable sheet was explored numerically. Rather than no–slip conditions at the boundary, velocity slip and thermal slip were considered. To achieve the system of nonlinear ordinary differential equations (ODEs), we employed some appropriate transformations and solved them numerically using MATLAB software (built–in solver called bvp4c). The influences of relevant parameters on fluid flow and heat transfer characteristics are discussed and presented in graphs. The findings showed that double solutions appeared in the case of stretching and shrinking sheets which contributed to the analysis of stability. The stability analysis, therefore, confirmed that merely the first solution was a stable solution. The addition of nanometer-sized particles (Cu) was found to significantly strengthen the heat transfer rate of the dusty nanofluid. Meanwhile, an upsurge in the velocity and thermal slip was shown to decrease the local Nusselt number. The result also revealed that an increment of fluid particle interaction decreased the boundary layer thickness.

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MHD two-phase fluid flow and heat transfer with partial slip in an inclined channel

Thermal Science ◽

10.2298/tsci130327049a ◽

2016 ◽

Vol 20 (5) ◽

pp. 1435-1446 ◽

Cited By ~ 5

Author(s):

Zaheer Abbas ◽

Jafar Hasnain ◽

Muhammad Sajid

Keyword(s):

Heat Transfer ◽

Mhd Flow ◽

Partial Slip ◽

Thermal Slip ◽

Two Phase ◽

Fully Developed Flow ◽

Inclined Channel ◽

Flow And Heat Transfer ◽

Slip Effects ◽

Electrical Conductivities

The aim of this paper is to investigate the velocity and thermal slip effects in MHD flow and heat transfer of two-phase viscous fluid. It is assumed that both the phases have different densities, viscosities and electrical conductivities. The fully developed flow governed by a constant pressure gradient is passing through an inclined channel having inclination f with horizontal axis. The electrical conductivity in phase I is assumed to be zero so that the constant applied magnetic field of strength B0 in the transverse direction only effect the fluid in phase II. The method of successive approximation is used to develop the analytic solution of order 1 for the developed dimensionless coupled ordinary differential equations. The main focus is to discuss the influence of velocity and thermal slip parameters and Hartmann number on the velocity and temperature profiles.

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Unsteady Boundary Layer Stagnation Point Flow and Heat Transfer over a Stretching Sheet in a Porous Medium with Slip Effects

CFD letters ◽

10.37934/cfdl.12.10.5261 ◽

2020 ◽

Vol 12 (10) ◽

pp. 52-61

Author(s):

Haliza Rosali ◽

Mohd Noor Badlilshah ◽

Mohamat Aidil Mohamat Johari ◽

Norfifah Bachok

Keyword(s):

Heat Transfer ◽

Boundary Layer ◽

Porous Medium ◽

Differential Equations ◽

Stretching Sheet ◽

Thermal Slip ◽

Slip Effect ◽

Unsteady Boundary Layer ◽

Flow And Heat Transfer ◽

Slip Effects

Boundary layer flow and heat transfer over a stretching sheet in a porous medium has many applications in industrial processes. The effect of porosity plays a significant role in determining the behaviour of the fluid flow. Based on that, we analyzed the unsteady boundary layer stagnation point flow and heat transfer towards a stretching sheet by considering the porosity. The velocity and thermal slip effects are taken into consideration in the present analysis. The governing non-linear partial differential equations were transformed into a system of nonlinear ordinary differential equations using similarity transformation. The resulting ordinary differential equations were solved numerically using the shooting method in Maple software. Numerical results for the dimensionless velocity profile, temperature profile, skin friction coefficients and the local Nusselt number are presented for various parameters. The effect of dimensionless material parameter, thermal slip effect and velocity slip effect on the flow field is also discussed. It is found that the skin friction coefficients decrease whereas the local Nusselt number increases with the increase in permeability parameter.

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