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Impact of thermophoretic transport of Al2O3 nanoparticles on viscoelastic flow of oil-based nanofluid over a porous exponentially stretching surface with activation energy

Etwire Christian John, Seini Ibrahim Yakubu, Musah Rabiu, Makinde Oluwole Daniel

Engineering Transactions

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2019

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Vol. 67, iss. 3

387--410

EN

The influence of thermophoretic transport of Al2O3 nanoparticles on heat and mass transfer in viscoelastic flow of oil-based nanofluid past porous exponentially stretching surface with activation energy has been examined. Similarity technique was employed to transform the governing partial differential equations into a coupled fourth-order ordinary differential equations which were reduced to a system of first-order ordinary differential equations and then solved numerically using the fourth-order Runge-Kutta algorithm with a shooting method. The results for various controlling parameters were tabulated and graphically illustrated. It was found that the thermophoretic transport of Al2O3 nanoparticles did not affect the rate of flow and heat transfer at the surface but it affected the rate of mass transfer of the nanofluid which decayed the solutal boundary layer thickness. This study also revealed that activation energy retards the rate of mass transfer which causes a thickening of the solutal boundary layer.

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Stagnation flow of couple stress nanofluid over an exponentially stretching sheet through a porous medium

Rehman A., Nadeem S., Malik M. Y.

Journal of Power Technologies

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2013

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Vol. 93, nr 2

122--132

EN

The present investigation is carried for the problem of boundary layer stagnation point flow and heat transfer of couple stress fluid containing nanoparticles and flowing over an exponentially stretching surface in a porous medium. The governing equations of couple stress fluid model for velocity, temperature and nanoparticle profiles are given under boundary layer approach. The nonlinear partial differential equations are simplified by using similar transformations. The analytical solutions of simplified equations are found with the help of homotopy analysis method. The convergence of the HAM solutions has been discussed by plotting - curves and also through homotopy pade approximation. The physical features of pertinent parameters have been discussed through graphs.

3

Boundary layer viscoelastic fluid flow over an exponentially stretching sheet

Khan S. K.

International Journal of Applied Mechanics and Engineering

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2006

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Vol. 11, no 2

321-335

EN

In the present paper, a viscoelastic boundary layer fluid flow over an exponentially stretching continuous sheet has been examined. The flow is assumed to be generated solely by the application of two equal and opposite forces along the x-axis such that stretching of the boundary surface is of exponential order in x. Approximate analytical similarity solutions (zero and first order) of the highly non-linear boundary layer equation are obtained for the dimensionless stream function and velocity distribution function after transforming the boundary layer equation into Riccati type and solving that sequentially. The first-order solution is derived in the form of confluent hypergeometric Whittaker functions. The solutions are verified at the boundary sheet. These solutions (zero and first order) involve an exponential dependence of the similarity variable, the stretching velocity and the stream function on the axial coordinate. The accuracy of the analytical solutions is also verified by the numerical solutions obtained by employing the Runge-Kutta fourth order method with shooting. The effects of various physical parameters on the velocity profile and skin-friction coefficient are also discussed in this paper.