Engineering Transactions, 67, 3, pp. 387–410, 2019
10.24423/EngTrans.954.20190725

Impact of Thermophoretic Transport of Al2O3 Nanoparticles on Viscoelastic Flow of Oil-Based Nanofluid over a Porous Exponentially Stretching Surface with Activation Energy

Christian John ETWIRE
University for Development Studies
Ghana

Ibrahim Yakubu SEINI
University for Development Studies
Ghana

Musah RABIU
University for Development Studies
Ghana

Oluwole Daniel MAKINDE
Stellenbosch University
South Africa

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.
Keywords: thermophoresis; activation energy; exponential stretching; deposition; nanofluid; thermophoretic
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References

Baaske P., Wienken C.J., Reineck P., Duhr S., Braun D., Optical thermophoresis for quantifying the buffer dependence of aptamer binding, Angewandte Chemie International Edition, 49(12): 2238–2241, 2010.

Chao Z., Jinxin F., Alparslan O., Xuanhong C., Measuring the Soret coefficient of nanoparticles in a dilute suspension, Journal of Nanoparticle Research, 16(10): 1–11, 2014.

Loganathan P., Arasu P.P., Thermophoresis effects on non-Darcy MHD mixed convective heat and mass transfer past a porous wedge in the presence of suction/injection, Theoretical Applied Mechanics, 37(3): 203–227, 2010.

Thamdrup L.H., Larsen N.B., Kristensen A., Light-induced local heating for thermophoretic manipulation of DNA in polymer micro- and nanochannels, Nano Letters, 10(3): 826–832, 2010.

Kishan N., Jagadha S., Thermophoresis and chemical reaction effects on MHD Darcy-Forchheimer mixed convection in a fluid saturated porous media, International Journal of Engineering Trends and Technology, 10(5): 235–243, 2014.

Ghadam A.G.J., Moradi A., Effects of Brownian motion and thermophoresis on MHD mixed convection stagnation-point flow of a nanofluid toward a stretching vertical sheet in porous medium, Journal of Particle Science and Technology, 1: 225–240, 2015.

Rashad A.M., Mallikarjuna B., Chamkha A.J., Raju S.H., Thermophoresis effect on heat and mass transfer from a rotating cone in a porous medium with thermal radiation, Afrika Matematika, 27(7–8): 1409–1424, 2016.

Falana A., Ojewale O.A., Adeboje T.B., Effect of Brownian motion and thermophoresis on a nonlinearly stretching permeable sheet in a nanofluid, Advances in Nanoparticles, 5: 123–134, 2016.

Raju K.V., Reddy P.B.A., Suneetha S., Thermophoresis effect on a radiating inclined permeable moving plate in the presence of chemical reaction and heat absorption, International Journal of Dynamics of Fluids, 13(1): 89–112, 2017.

Shafique Z., Mustafa M., Mushtaq A., Boundary layer flow of Maxwell fluid in rotating frame with binary chemical reaction and activation energy, Results in Physics, 6: 627–633, 2016.

Mustafa M., Mushtaq A., Hayat T., Alsaedi A., Numerical study of MHD viscoelastic fluid flow with binary chemical reaction and Arrhenius activation energy, International Journal of Chemical Reactor Engineering, 15(1): 1–9, 2016.

Monica M., Sucharitha J., Kishore C.H., Effects of exothermic chemical reaction with Arrhenius activation energy, non-uniform heat source/sink on MHD stagnation point flow of a Casson fluid over a nonlinear stretching sheet with variable fluid properties and slip conditions, Journal of the Nigerian Mathematical Society, 36: 163–190, 2017.

Anuradha S., Sasikala K., MHD mixed convection stagnation point flow with binary chemical reaction and activation energy, International Journal of Engineering and Techniques, 3(6): 320–324, 2017.

Kiran Kumar R.V.M.S.S., Kumar G.V., Raju C.S.K., Shehzad S.A., Varma S.V.K., Analysis of Arrhenius activation energy in magnetohydrodynamic Carreau fluid flow through improved theory of heat diffusion and binary chemical reaction, Journal of Physics Communications, 2(3): 1–14, 2018.

Choi S.U.S., Eastman J.A., Enhancing thermal conductivity of fluids with nanoparticles, Developments Applications of Non-Newtonian Flows, ASME, New York, FED-Vol. 231/MD-Vol. 66, pp. 99–105, 1995.

Jakati S.V., Raju B.T., Nargund A.L., Sathyanarayana S.B., The Effect of Brownian motion and thermophoresis on nanofluids stretching for Jaffrey fluid model, International Journal of Latest Transactions in Engineering and Science, 3(3): 1–9, 2018.

Anuradha S., Sasikala K., MHD free convective flow of a nanofluid over a permeable shrinking sheet with binary chemical reaction and activation energy, International Journal of Engineering Science Invention, 7(1): 22–30, 2018.

Zeeshan A., Shehzad N., Ellahi R., Analysis of activation energy in Couette-Poiseuille flow of nanofluid in the presence of chemical reaction and convective boundary conditions, Results in Physics, 8: 502–512, 2018.

Brinkman H.C., Viscosity of concentrated suspensions and solutions, The Journal of Chemical Physics, 20: 571–581, 1952.

Bidin B., Nazar R., Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation, European Journal of Scientific Research, 33(4): 710–717, 2009.




DOI: 10.24423/EngTrans.954.20190725

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