Effectiveness of Darcy-Forchheimer and nonlinear mixed convection aspects in stratified Maxwell nanomaterial flow induced by convectively heated surface
- 93 Downloads
The effect of nonlinear mixed convection in stretched flows of rate-type non-Newtonian materials is described. The formulation is based upon the Maxwell liquid which elaborates thermal relation time characteristics. Nanofluid properties are studied considering thermophoresis and Brownian movement. Thermal radiation, double stratification, convective conditions, and heat generation are incorporated in energy and nanoparticle concentration expressions. A boundary-layer concept is implemented for the simplification of mathematical expressions. The modeled nonlinear problems are computed with an optimal homotopy scheme. Moreover, the Nusselt and Sherwood numbers as well as the velocity, nanoparticle concentration, and temperature are emphasized. The results show opposite impacts of the Deborah number and the porosity factor on the velocity distribution.
Key wordsMaxwell nanomaterial nonlinear mixed convection thermal radiation double stratification convective condition
Chinese Library ClassificationO361
2010 Mathematics Subject Classification76A05
Unable to display preview. Download preview PDF.
- CHOI, S. U. S. and EASTMAN, J. A. Enhancing thermal conductivity of fluids with nanopar-ticles. The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, 66, 99–105 (1995)Google Scholar
- NAGENDRAMMA, V., RAJU, C. S. K., MALLIKARJUNA, B., SHEHZAD, S. A., and LEE-LARATHNAM, A. 3D Casson nanofluid flow over slendering surface in a suspension of gyrotactic microorganisms with Cattaneo-Christov heat flux. Applied Mathematics and Mechanics (English Edition), 39, 623–638 (2018) https://doi.org/10.1007/s10483-018-2331-6 MathSciNetCrossRefGoogle Scholar
- DARCY, H. Les Fontaines Publiques de la Ville de Dijon, Hachette Livre Bnf, Paris (1856)Google Scholar
- FORCHHEIMER, P. H. Wasserbewegung Durch Boden, Spielhagen & Schurich, Wien (1901)Google Scholar
- SINGH, A. K., KUMAR, R., SINGH, U., SINGH, N. P., and SINGH, A. K. Unsteady hydromag-netic convective flow in a vertical channel using Darcy-Brinkman-Forchheimer extended model with heat generation/absorption: analysis with asymmetric heating/cooling of the channel walls. International Journal of Heat and Mass Transfer, 54, 5633–5642 (2011)CrossRefzbMATHGoogle Scholar
- GIREESHA, B. J., MAHANTHESH, B., MANJUNATHA, P. T., and GORLA, R. S. R. Numer-ical solution for hydromagnetic boundary layer flow and heat transfer past a stretching surface embedded in non-Darcy porous medium with fluid-particle suspension. Journal of the Nigerian Mathematical Society, 34, 267–285 (2015)MathSciNetCrossRefzbMATHGoogle Scholar
- HAYAT, T., WAQAS, M., SHEHZAD, S. A., and ALSAEDI, A. Effects of Joule heating and ther-mophoresis on stretched flow with convective boundary conditions. Scientia Iranica Transaction B, Mechanical Engineering, 21, 682–692 (2014)Google Scholar
- CHRISTENSEN, R. M. Theory of Viscoelasticity, Academic Press, London (1971)Google Scholar