Scaling effects for flow in micro-channels: Variable property, viscous heating, velocity slip, and temperature jump

Effects of viscous heating, fluid property variation, velocity slip, and temperature jump on convection through parallel plate and circular microchannels

“…Further analysis of the problem is impossible without mathematical models for the variation of k and µ with temperature. This can be done, by using a truncated Taylor series [15], as…”

“…Numerical studies of [13,14] have partly addressed this issue. However, it is of paramount significance to consider the temperature-dependent variation of both the fluid viscosity and thermal conductivity in the analysis of MFDs [15][16][17], especially at low Reynolds numbers, whereas quantities such as density and specific heat can be considered as constant [18]. According to Kays and Crawford [19], while viscosity of a liquid changes severely with the temperature the other fluid properties are almost temperature-independent.…”

Free convective flow of heat generating fluid through a porous vertical channel with velocity slip and temperature jump

“…Motivated by Zheng et al [12], the main objective of this paper was to investigate the combined effects of partial slip and temperature jump on the free convective flow of heat generating and absorbing fluid through a micro-channel thereby extending the work done in [8] to a micro-channel. More details on velocity slip and temperature jump can be found in the work by Haddad et al [13,14], Hooman et al [15], Chen [16] and Aziz [17].…”

An Oscillatory Radiating Hydromagnetic Internal Heat Generating Fluid Flow Through a Vertcal Porous Channel with Slip and Temperature Jump

“…It is also well known that when Knudsen number (Kn) is zero the no slip condition holds while if Kn is less than 0.001 the continum flow assumption holds. However, when Kn lies between the range [0.001, 0.1] the flow is termed slip and in this regime the classical energy equation as well as the Navier Stokes equation hold (see [3], [5] and [6]). More works on slip flows with various flow configurations can be found in [8, 9, 10 and 11].…”