scholarly journals Analysis of Heat and Mass Transfer for Second-Order Slip Flow on a Thin Needle Using a Two-Phase Nanofluid Model

Symmetry ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1176
Author(s):  
Siti Nur Alwani Salleh ◽  
Norfifah Bachok ◽  
Fadzilah Md Ali ◽  
Norihan Md Arifin

The present paper concentrates on the second-order slip flow over a moving thin needle in a nanofluid. The combined effects of thermophoresis and Brownian motion are considered to describe the heat and mass transfer performance of nanofluid. The resulting system of equations are obtained using similarity transformations and being executed in MATLAB software via bvp4c solver. The physical characteristics of embedded parameters on velocity, temperature, concentration, coefficient of skin friction, heat and mass transfer rates are demonstrated through a graphical approach and are discussed in detail. The obtained outcomes are validated with the existing works and are found to be in good agreement. It is shown that, for a specific domain of moving parameter, dual solutions are likely to exist. The stability analysis is performed to identify the stability of the solutions gained, and it is revealed that only one of them is numerically stable. The analysis indicated that the percentage of increment in the heat and mass transfer rates from no-slip to slip condition for both thin and thick surfaces of the needle ( a = 0.1 and a = 0.2 ) are 10.77 % and 12.56 % , respectively. Moreover, the symmetric behavior is noted for the graphs of reduced heat and mass transfer when the parameters N b and N t are the same.

1965 ◽  
Vol 87 (4) ◽  
pp. 499-506 ◽  
Author(s):  
R. F. Barron ◽  
L. S. Han

Heat and mass transfer rates were measured experimentally and compared with analytically developed correlations for frost formation on a vertical flat plate in free convection. The plate was cooled internally to cryogenic temperatures (−310 F or liquid nitrogen temperatures), and both the laminar and turbulent flow regimes were investigated. In the laminar flow correlation, the effects of thermal diffusion and diffusion thermoeffect were included. The analytical and experimental heat transfer rates were in good agreement; however, the mass transfer results were affected by the presence of macromolecules of frost within the boundary layer.


Author(s):  
Y. Belkassmi ◽  
L. Elmaimouni ◽  
A. Rafiki ◽  
K. Gueraoui ◽  
N. Hassanain

The purpose of this paper is to investigate mass and heat transfer in the process of film condensation of vapor-air mixture for non-cryogenic fluids flow in a small vertical tube. A two-phase mathematical model is developed to model the mixture and liquid film. The governing equations for mixture and liquid-film have been resolved using a numerical method. Furthermore, this phenomenon analyzed is linked to a steady-state. Therefore, the development of numerical codes allows us to investigate the effect of implicated parameters on this phenomenon. Ethanol and methanol as non-cryogenic typical working fluids are realized for a good understanding of the heat and mass transfer mechanism during condensation. In this way, several effects of influencing parameters were examined. The predicted results showed a good agreement with experimental data.


Author(s):  
Waqar A Khan ◽  
Rama Subba Reddy Gorla

A boundary layer analysis has been presented for the heat and mass transfer in non-Newtonian nanofluids over a stretching surface with prescribed wall temperature and surface nanoparticle concentration. A power-law model is used for non-Newtonian fluids whereas Brownian motion and thermophoresis effects are incorporated in the nanofluid model. A similarity transformation is used to reduce mass, momentum, thermal energy, and nanoparticles concentration equations into non-linear ordinary differential equations which are solved numerically by using a finite difference method. Effects of nanofluid parameters, suction/injection and temperature parameters, and generalized Pr and Le numbers on dimensionless functions, skin friction, local Nusselt and Sherwood numbers are shown graphically. The present results of skin friction and heat transfer rates are compared with published results for special cases and are found to be in good agreement.


2011 ◽  
Vol 133 (12) ◽  
Author(s):  
D. Srinivasacharya ◽  
Ch. RamReddy

This paper analyzes the flow and heat and mass transfer characteristics of the free convection on a vertical plate with uniform and constant heat and mass fluxes in a doubly stratified micropolar fluid. The nonlinear governing equations and their associated boundary conditions are initially cast into dimensionless forms by pseudosimilarity variables. The resulting system of equations is then solved numerically using the Keller-box method. The numerical results are compared and found to be in good agreement with previously published results on special cases of the problem. The obtained results are displayed graphically to illustrate the effect of the micropolar and stratification parameters on the dimensionless velocity, microrotation, wall temperature, and wall concentration. The numerical values of the skin friction, wall couple stress, and heat and mass transfer rates for different values of governing parameters are also tabulated.


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