On unsteady MHD mixed convection in a nanofluid due to a stretching/shrinking surface with suction/injection using the spectral relaxation method

• Published in: Boundary value problems Vol. 2015; no. 1; pp. 1 - 17
• Main Authors: Haroun, Nageeb A, Sibanda, Precious, Mondal, Sabyasachi, Motsa, Sandile S
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 31.01.2015; BioMed Central Ltd
• Subjects: Analysis; Approximations and Expansions; Boundary value problems; Difference and Functional Equations; Mass transfer; Mathematical analysis; Mathematical models; Mathematics; Mathematics and Statistics; Nanofluids; Nanostructure; Nonlinearity; Ordinary Differential Equations; Partial Differential Equations; Spectra; Stretching; Unsteady; dimensionless suction/injection; magnetohydrodynamic; heat generation parameter; nanofluids; Soret and Dufour effects
• ISSN: 1687-2770; 1687-2770
• DOI: 10.1186/s13661-015-0289-5

In this study we investigate heat and mass transfer in magnetohydrodynamic mixed convection flow of a nanofluid over an unsteady stretching/shrinking sheet. The flow is subject to a heat source, viscous dissipation and Soret and Dufour effects are assumed to be significant. We have further assumed that the nanoparticle volume fraction at the wall may be actively controlled. The physical problem is modeled using systems of nonlinear differential equations which we have solved numerically using the recent spectral relaxation method. In addition to the discussion on physical heat and mass transfer processes, we also show that the spectral relaxation technique is an accurate technique for solving nonlinear boundary value problems.