Natural Convective Boundary Layer Flow of Nanofluids Above an Isothermal Horizontal Plate

Abstract

The natural convective boundary layer flow of a nanofluid over an isothermal horizontal plate is studied analytically. The model used for the nanofluid accounts for the effects of Brownian motion and thermophoresis. The analysis shows that the velocity, temperature, and nanoparticle volume fraction profiles in the respective boundary layers depend not only on the Prandtl number (Pr) and Lewis number (Le) but also on three additional dimensionless parameters: the Brownian motion parameter Nb, the buoyancy ratio parameter Nr and the thermophoresis parameter Nt. The velocity, temperature, and nanoparticle volume fraction profiles for the nanofluid are found to have a weak depend ence on the values of Nb, Nr, and Nt. The effect of the above-mentioned parameters on the local skin-friction coefficient and Nusselt number has been studied extensively. It has been observed that as Nr inci eases, the local skin-friction coefficient decreases whereas local Nusselt number remains almost constant. As Nb or Nt increases, the local skinfriction coefficient increases whereas the local Nusselt number decreases.

Bioconvection nanofluid slip flow past a wavy surface with applications in nano-biofuel cells

“…The computations are also performed when the sheet is stationary and when it is moving with uniform velocity. Mention here that for the case of stationary sheet ( 0   ) and in the case of no slip boundary conditions ( 0 ab ), our problem reduces to that of Pradhan et al [31] when 0   in the general mathematical developed in this article. Table 1 Also, a moving surface reduces the skin friction and enhances the local Nusselt numbers in each case.…”

“…They measured the temperature distributions and heat transfer parameters in air at atmospheric pressure. Pradhan et al [31] considered the natural convective flow of a water-based nanofluid along an isothermal horizontal plate.…”

Numerical solution of bio-nano-convection transport from a horizontal plate with blowing and multiple slip effects

“…Specifically, at each iteration, solutions are obtained by solving tri-diagonal system modified by the boundary conditions. NTM solutions were compared with the results of Pradhan et al [58] where a good agreement is achieved in comparison. Furthermore, general model solutions obtained with MATLAB are compared with NTM computations that provided a good correlation.…”

“…Table 1 where an excellent agreement is achieved in the comparison. The reason for not having an exact match (slight variation) is that our computation has an accuracy of the order O(10 -10 ), while Pradhan et al [58] used an accuracy of O(10 -8 ) for their solution.…”

“…In the absence of blowing (s=0), slip boundary conditions ( a = c = d = e = 0) and microorganism equation (equation (16)), our model takes the form of the model from Pradhan et al. 59 for a stationary sheet ( f ′(0) = 0). For this case, we compared our test results with those of Pradhan et al.…”