Abstract
In this study, we investigate the Soret and viscous dissipation effects on the mixed convective flow of an electrically conducting fluid inside an inclined channel. In addition, nonlinear Boussinesq approximation (i.e., nonlinear convection) is taken into account to address thermal and solutal transport phenomena in some thermal and solutal systems, which are performed at high-level temperatures. Initially, the set of governing equations and the related boundary conditions are transformed into dimensionless form under suitable transformations and after that homotopy analysis method is used to obtain semi-analytic solutions of flow equations. The behavior of flow characteristics with pertinent flow parameters is discussed through graphs.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Barrow, H., Sitharamarao, T.L.: Effect of variation in volumetric expansion coefficient on free convection heat transfer. British Chem. Eng. 16(8), 704–709 (1971)
Vajravelu, K., Sastri, K.S.: Fully developed laminar free convection flow between two parallel vertical walls-I. Int. J. Heat Mass Transf. 20(6), 655–660 (1977)
Partha, M.K.: Nonlinear convection in a non-Darcy porous medium. Appl. Math. Mech. 31(5), 565–574 (2010)
RamReddy, C., Naveen, P., Srinivasacharya, D.: Quadratic convective flow of a micropolar fluid along an inclined plate in a non-Darcy porous medium with convective boundary condition. Nonlinear Eng. 6(2), 139–151 (2017)
Tao, L.N.: On combined free and forced convection in channels. J. Heat Transf. 82(3), 233–238 (1960)
Barletta, A.: Heat transfer by fully developed flow and viscous heating in a vertical channel with prescribed wall heat fluxes. Int. J. Heat Mass Transf. 42(20), 3873–3885 (1999)
Umavathi, J.C., Malashetty, M.S.: Magnetohydrodynamic mixed convection in a vertical channel. Int. J. Non-Linear Mech. 40(1), 91–101 (2005)
Afify, A.A.: Similarity solution in MHD: effects of thermal diffusion and diffusion thermo on free convective heat and mass transfer over a stretching surface considering suction or injection. Comm. Nonlinear Sci. Numer. Simu. 14(5), 2202–2214 (2009)
Surender, O., Ramreddy, C.H.: Significance of viscous dissipation on fully developed natural convection flow of a nanofluid in vertical channel with cross-diffusion effects. Adv. Sci. Eng. Med. 8(7), 579–588 (2016)
Wang, Z.K., Gao, T.: An Introduction to Homotopy Methods. Chongqing Publishing House, Chongqing (1991)
Liao, S.: Beyond Perturbation: An Introduction to the Homotopy Analysis Method. CRC Press (2003)
Srinivasacharya, D., Kaladhar, K.: Mixed convection flow of couple stress fluid between parallel vertical plates with Hall and Ion-slip effects. Comm. Nonlinear Sci. Numer. Simu. 17(6), 2447–2462 (2012)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Naveen, P., RamReddy, C. (2019). Soret and Viscous Dissipation Effects on MHD Flow Along an Inclined Channel: Nonlinear Boussinesq Approximation. In: Srinivasacharya, D., Reddy, K. (eds) Numerical Heat Transfer and Fluid Flow. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-1903-7_31
Download citation
DOI: https://doi.org/10.1007/978-981-13-1903-7_31
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-1902-0
Online ISBN: 978-981-13-1903-7
eBook Packages: EngineeringEngineering (R0)