Modelling the impact of melting and nonlinear radiation on reactive Buongiorno nanofluid boundary layer flow from an inclined stretching cylinder with cross diffusion and curvature effects

Garvandha, M; Narla, VK; Tripathi, D; Beg, OA

Abstract

The composite effects of nonlinear radiation, melting (phase change) heat transfer and Soret and Dufour cross diffusion in nanofluid boundary layer flow external to an inclined stretching cylinder is studied theoretically. Buongiorno’s nanoscale model is deployed, and viscous dissipation, first order chemical reaction and internal heat source effects are included. Curvature of the cylinder is also examined in the mathematical model. The transformed non-dimensional conservation equations are solved under pertinent wall and free stream boundary conditions numerically with shooting quadrature and a fourth order Runge-Kutta method (RKM).
Validation with a generalized differential quadrature (GDQ) numerical scheme is included. Graphs are presented to study the impact of various pertinent parameters on axial velocity, temperature and nanofluid concentration profiles. Additionally, skin friction, Nusselt number and Sherwood number are tabulated for selected parameters. Temperature and nanoparticle concentration magnitudes are reduced with increasing melting heat transfer parameter whereas the flow is accelerated. Velocity is decreased with increasing inclination of the cylinder to the vertical i.e. decreasing tilt relative to the horizontal owing to a reduction in thermal and species buoyancy forces. Increasing curvature parameter, Prandtl number, thermophoresis and Brownian motion nanoscale parameters elevate the Nusselt number whereas higher values of melting parameter, Soret number, Dufour number, radiation parameter and temperature ratio parameter produce the opposite effect. Sherwood number at the cylinder surface is suppressed with greater melting parameter, Soret number and Dufour number whereas it is boosted with greater curvature of the cylinder. The simulations are relevant to nanomaterial coating dynamics in manufacturing technologies.

Citation

Garvandha, M., Narla, V., Tripathi, D., & Beg, O. (2021). Modelling the impact of melting and nonlinear radiation on reactive Buongiorno nanofluid boundary layer flow from an inclined stretching cylinder with cross diffusion and curvature effects. In D. Tripathi, & R. Sharma (Eds.), Energy Systems and Nanotechnology (279-306). Springer. https://doi.org/10.1007/978-981-16-1256-5_15

• Acceptance Date: Oct 31, 2020
• Online Publication Date: May 28, 2021
• Publication Date: May 28, 2021
• Deposit Date: Nov 9, 2020
• Pages: 279-306
• Series Title: Advances in Sustainability Science and Technology
• Book Title: Energy Systems and Nanotechnology
• ISBN: 9789811612558-(hardback);-9789811612565-(ebook)
• DOI: https://doi.org/10.1007/978-981-16-1256-5_15
• Publisher URL: https://doi.org/10.1007/978-981-16-1256-5_15
• Related Public URLs: https://www.springer.com/gb/book/9789811612558; https://doi.org/10.1007/978-981-16-1256-5