Thermally stratified squeezed flow between two vertical Riga plates with no slip conditions

• Published in: European physical journal plus Vol. 133; no. 4; p. 152
• Main Authors: Farooq, M., Mansoor, Zahira, Ijaz Khan, M., Hayat, T., Anjum, A., Mir, N. A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2018; Springer Nature B.V
• Subjects: Applied and Technical Physics; Applied mathematics; Atomic; Boundary conditions; Carbon; Complex Systems; Computation; Condensed Matter Physics; Convergence; Differential equations; Energy; Fluid flow; Fluids; Heat conductivity; Heat transfer; Investigations; Magnetic fields; Mathematical and Computational Physics; Molecular; Multi wall carbon nanotubes; Nanomaterials; Nanoparticles; Nanotechnology; Nonlinear systems; Optical and Plasma Physics; Physics; Physics and Astronomy; Plates; Regular Article; Single wall carbon nanotubes; Skin friction; Theoretical
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/i2018-11891-5

. This paper demonstrates the mixed convective squeezing nanomaterials flow between two vertical plates, one of which is a Riga plate embedded in a thermally stratified medium subject to convective boundary conditions. Heat transfer features are elaborated with viscous dissipation. Single-wall and multi-wall carbon nanotubes are taken as nanoparticles to form a homogeneous solution in the water. A non-linear system of differential equations is obtained for the considered flow by using suitable transformations. Convergence analysis for velocity and temperature is computed and discussed explicitly through BVPh 2.0. Residual errors are also computed by BVPh 2.0 for the dimensionless governing equations. We introduce two undetermined convergence control parameters, i.e. ℏ θ and ℏ f , to compute the lowest entire error. The average residual error for the k -th-order approximation is given in a table. The effects of different flow variables on temperature and velocity distributions are sketched graphically and discussed comprehensively. Furthermore the coefficient of skin friction and the Nusselt number are also analyzed through graphical data.