Effect of partial slip boundary condition on the flow and heat transfer of nanofluids past stretching sheet prescribed constant wall temperature

Investigation of fluid flow and heat transfer in rotating microchannels is important for centrifugal microfluidics, which has emerged as an advanced technique in biomedical applications and chemical separations. The pseudo forces namely the centrifugal force and the Coriolis force arising as a consequence of the rotating reference frame change the flow pattern significantly from the parabolic profile in a non-rotating channel. The convective heat transfer process is also influenced by the secondary flow introduced by the rotational effect. Moreover, if the microchannel wall is hydrophobic, slip flow can occur inside the channel when the conventional no slip boundary condition is no longer valid. In this work, we have numerically investigated the flow and heat transfer inside a straight rotating rectangular microchannel in the slip flow regime. A pressure based finite volume technique in a staggered grid was applied to solve the steady incompressible Navier-Stokes and energy equations. It has been observed that, depending on the rotational velocity, different slip velocities are induced at the channel walls. The average fluid temperature increases with the increase of rotation as convective heat transfer mechanism is increased due to the secondary flow. However, the slip boundary condition has a negligible effect on the temperature profiles.

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Transient magnetohydrodynamic flow and heat transfer of fractional Oldroyd-B fluids in a microchannel with slip boundary condition

Physics of Fluids ◽

10.1063/5.0025195 ◽

2020 ◽

Vol 32 (10) ◽

pp. 103104

Author(s):

Xiaoping Wang ◽

Huanying Xu ◽

Haitao Qi

Keyword(s):

Heat Transfer ◽

Boundary Condition ◽

Slip Boundary Condition ◽

Magnetohydrodynamic Flow ◽

Slip Boundary ◽

Flow And Heat Transfer

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A Kinetic Theory-Based First-Order Slip Boundary Condition for Gas Micro/Nano-Flows with Heat Transfer

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1243/09544062jmes2182 ◽

2010 ◽

Vol 224 (11) ◽

pp. 2390-2395 ◽

Cited By ~ 2

Author(s):

R Kamali ◽

A Kharazmi ◽

M Akbari

Keyword(s):

Heat Transfer ◽

Boundary Condition ◽

Kinetic Theory ◽

Slip Boundary Condition ◽

Constant Heat Flux ◽

Interactive Effects ◽

Constant Wall Temperature ◽

First Order ◽

Slip Boundary ◽

Thermal Boundary Conditions

A kinetic theory-based first-order slip boundary condition for micro/nano-gas flows with heat transfer is presented analytically using the Chapman—Enskog solution of the Boltzmann equation. This slip model is investigated by studying heat transfer for laminar Newtonian fluid in a Poiseuille flow. The problem is solved for two different thermal boundary conditions, namely, constant heat flux and constant wall temperature with different Knudsen numbers. The interactive effects of the Knudsen number on the Nusselt numbers are determined analytically, and for both cases, the temperature profile and the Nusselt number are compared with previous published results.

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