scholarly journals Mathematical Modeling of Convective Heat and Mass Transfer of a Rotating Nano-Fluid Bounded by Stretching and Stationary Walls in a Vertical Conduit

2020 ◽  
Vol 25 (4) ◽  
pp. 69-83
Author(s):  
B. Haritha ◽  
C. Umadevi ◽  
M.Y. Dhange

AbstractThe influence of thermal emission and unvarying magnetic field of convective heat and mass transfer of a rotating nano-liquid in an upright conduit constrained by a stretching and motionless wall is studied. The temperature, concentration profile, primary and secondary velocities have been computed through similarity transformation and fourth-order Runge-Kutta shooting technique. The objective of this article is to measure the impact of emission constraint, Brownian movement constraint and Eckert number, thermophoresis constraint, Prandtl number, space, and temperature-dependent heat source constraint on velocity. The results are presented in tables and graphs. Further, various constraint impacts on the skin friction coefficient, heat and mass transfer rates are also explored. This work is pertinent to biotechnological and engineering uses, like mass and heat transfer enhancement of microfluids and design of bioconjugates.

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Ime Jimmy Uwanta ◽  
Halima Usman

The present paper investigates the combined effects of Soret and Dufour on free convective heat and mass transfer on the unsteady one-dimensional boundary layer flow over a vertical channel in the presence of viscous dissipation and constant suction. The governing partial differential equations are solved numerically using the implicit Crank-Nicolson method. The velocity, temperature, and concentration distributions are discussed numerically and presented through graphs. Numerical values of the skin-friction coefficient, Nusselt number, and Sherwood number at the plate are discussed numerically for various values of physical parameters and are presented through tables. It has been observed that the velocity and temperature increase with the increase in the viscous dissipation parameter and Dufour number, while an increase in Soret number causes a reduction in temperature and a rise in the velocity and concentration.


2020 ◽  
Vol 17 ◽  
pp. 50-63
Author(s):  
N. T. M. Eldabe ◽  
Ahmed Refaie Ali ◽  
Gamil Ali Shalaby

A theoretical study has been developed to investigate the influence of thermophoresis and couple stresses on the steady flow of non-Newtonian fluid with free convective heat and mass transfer over a channel bounded by two permeable plates. The considered non-Newtonian fluid follows a viscoelastic model. The problem is modulated mathematically by a system of non-linear differential equations pertaining to describe the continuity, momentum, energy, and concentration. These equations involve the effects of viscous dissipation and chemical reaction. The numerical solutions of the dimensionless equations are found as a function of the physical parameters of this problem. The numerical formulas of the velocity (u), temperature Φ and concentration Θ as well as skin friction coefficient T*, Nusselt number(Nu) and Sherwood number(Sh) are computed. The physical parameter's effects of the problem on these formulas are described and illustrated graphically through some figures and tables. It is observed that any increase in the thermophoretic parameter T leads to reduce in velocity profiles as well as concentration layers. In contrast, the velocity increases with increasing the couple stresses inverse parameter.


2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
P. K. Kameswaran ◽  
P. Sibanda ◽  
A. S. N. Murti

We investigate the effects of thermal radiation and convective boundary conditions on heat and mass transfer in nanofluid flow over a permeable flat plate. The mathematical model for the nanofluid incorporates variations in the nanoparticle volume fraction of up to 20%. The performance of two water-based nanofluids, namely, stable suspensions of copper and gold nanoparticles in water was investigated. The governing partial differential equations were transformed into ordinary ones using a similarity transformation and solved numerically. The numerical results were validated by comparison with previously published results in the literature. The main focus of this paper is to study the fluid and surface parameters such as the radiation parameter, and suction/injection parameter, solute concentration profiles, as well as the skin friction coefficient and heat and mass transfer rates were conducted.


Author(s):  
A.M. Rashad ◽  
M. Modather M. Abdou ◽  
Ali Chamkha

Magneto-hydrodynamic free convective heat and mass transfer of a viscous, incompressible, electrically conducting and chemically-reacting fluid adjacent to a vertical stretching sheet embedded in a saturated porous medium in the presence of a thermal radiation effect are investigated. The sheet is linearly stretched with uniform constant of temperature and concentration. The governing partial differential equations are transferred into a system of ordinary differential equations, which are solved numerically using a fourth order Runge-Kutta scheme with the shooting method. The effects of various parameters entering into the problem have been examined on the velocity and temperature profiles as well as the skin-friction coefficient, and Nusselt and Sherwood numbers are presented graphically and in tabular form.


2018 ◽  
Vol 14 (5) ◽  
pp. 1082-1100 ◽  
Author(s):  
G.P. Ashwinkumar ◽  
Sulochana C.

PurposeThe purpose of this paper is to report the effects of radiation absorption and buoyancy forces on the boundary layer analysis of Casson nanofluid past a vertical plate in a porous enclosure filled with Al50Cu50alloy nanoparticles.Design/methodology/approachThe authors reconstructed the controlling equations as a group of nonlinear ODEs and solved analytically using perturbation technique. The vital interest in this analysis is to examine the influence of sundry physical parameters on the common profiles (velocity, temperature and concentration) conferred through the plots. Tabular values are listed to discuss the skin friction factor, heat and mass transfer rates. Dual solutions are observed for Newtonian and non-Newtonian fluid cases.FindingsAcquired results indicate that the Casson fluid plays a major role in controlling heat and mass transfer rates as compared with Newtonian fluid. Also, raise in volume fraction of nanoparticles regulates the thermal fields, discerns the velocity fields. The authors established the comparison of present results with previously published results and they are found in good agreement for limited cases.Originality/valueBecause of the substantial properties of aluminium and its alloys such as, extreme corrosion resistance, exalted electrical and thermal conductivities and ease of fabrication they achieved tremendous applications in transportation especially in space and aircrafts, in the production of electrical transmission lines. In view of these, the current literature is perpetrated to probe the impact of radiation absorption and buoyancy forces on the heat and mass transfer analysis of Casson nanofluid in the presence of Al50Cu50alloy nanoparticles.


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