Scaling group transformation for MHD boundary-layer flow of a nanofluid past a vertical stretching surface in the presence of suction/injection

• Published in: Nuclear engineering and design Vol. 241; no. 6; pp. 2053 - 2059
• Main Authors: Kandasamy, R., Loganathan, P., Arasu, P. Puvi
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.06.2011; Elsevier
• Subjects: Applied sciences; Brownian motion; Controled nuclear fusion plants; Energy; Energy. Thermal use of fuels; Exact sciences and technology; Fission nuclear power plants; Fluid flow; Fuels; Installations for energy generation and conversion: thermal and electrical energy; Magnetic fields; Mathematical models; Nanocomposites; Nanofluids; Nanomaterials; Nanostructure; Nuclear fuels; Transformations; MHD flow; Laminar flow; Boundary value; Magnetic field; Flow field; Thermophoresis; Surface conditions; Boundary layer; Nuclear reactor
• ISSN: 0029-5493; 1872-759X
• DOI: 10.1016/j.nucengdes.2011.04.011

► A nanofluid is a new class of heat transfer fluids that contain a base fluid and nanoparticles. ► The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. ► In nanofluid systems, thermophoresis particle deposition in the presence of magnetic field with Brownian motion has a substantial effect on the flow field. The problem of laminar fluid flow which results from the stretching of a vertical surface with variable stream conditions in a nanofluid has been investigated numerically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis in the presence of magnetic field. The symmetry groups admitted by the corresponding boundary value problem are obtained by using a special form of Lie group transformations viz. scaling group of transformations. An exact solution is obtained for translation symmetry and numerical solutions for scaling symmetry. This solution depends on a Lewis number, magnetic field, Brownian motion parameter and thermophoretic parameter. The conclusion is drawn that the flow field and temperature and nanoparticle volume fraction profiles are significantly influenced by these parameters.