Dynamics of tangent-hyperbolic nanoliquids configured by stratified extending surface: effects of transpiration, Robin conditions and dual stratifications

Nasir, M; Waqas, M; Beg, OA; Zamri, N; Leonard, HJ; Guedri, K

Abstract

A mathematical study is presented to evaluate double stratification effects on the
dual convected flow of a non-Newtonian (tangent-hyperbolic) nanoliquids persuaded by porous
stretching surface. Thermal radiation along with transpiration (wall suction/injection) and heat
source/sink are included. Buongiorno’s model is employed for nanoscale effects and a Rosseland
diffusion approximation for nonlinear radiative heat transfer. Appropriate similarity
transformations are deployed to alter the dimensional governing nonlinear PDEs (partial
differential equations) to a nonlinear differential one with physically viable boundary conditions.
The transformed dimensionless BVP (boundary value problem) is computed analytically by a
HAM (homotopic analysis method) algorithm and a symbolic software. Validation with earlier
studies employing the numerical method (Runge-Kutta-Fehlberg) is included. The evolution in
velocity, thermal and solutal (nanoparticle) fields are interpreted through graphical outcomes for the impact of significant sundry parameters. Tabular outcomes are also presented for skin-friction,
local Nusselt and Sherwood numbers. A rise in material variable (Weissenberg number), the flow
is decelerated while it is accelerated with increasing nonlinear thermal convective parameter,
mixed convection parameter and buoyancy ratio values. Temperatures are boosted with increment
in radiative, thermophoresis, Brownian motion, thermal Biot number and heat generation
parameters whereas they are reduced with increasing thermal stratification parameter.
Nanoparticle concentration values are suppressed with higher Schmidt number, Brownian
movement and solutal stratification variable however they are boosted with greater values of
thermophoresis and concentration Biot number. Local Sherwood number is improved with
Schmidt number, concentration stratification parameter and concentration Biot number. Local
Nusselt number is strongly increased with greater Prandtl number, thermal stratification number,
thermal Biot number and radiative parameter. The study finds applications in thermal nanopolymeric coating flows in materials processing operations.

Citation

Nasir, M., Waqas, M., Beg, O., Zamri, N., Leonard, H., & Guedri, K. (2022). Dynamics of tangent-hyperbolic nanoliquids configured by stratified extending surface: effects of transpiration, Robin conditions and dual stratifications. International Communications in Heat and Mass Transfer, 139, https://doi.org/10.1016/j.icheatmasstransfer.2022.106372

• Journal Article Type: Article
• Acceptance Date: Sep 3, 2022
• Online Publication Date: Oct 17, 2022
• Publication Date: Oct 17, 2022
• Deposit Date: Sep 14, 2022
• Publicly Available Date: Oct 18, 2024
• Journal: International Communications in Heat and Mass Transfer
• Print ISSN: 0735-1933
• Publisher: Elsevier
• Volume: 139
• DOI: https://doi.org/10.1016/j.icheatmasstransfer.2022.106372
• Publisher URL: https://doi.org/10.1016/j.icheatmasstransfer.2022.106372
• Additional Information: Funders : Deanship of Scientific Research at Umm Al-Qura University, Saudi Arabia; Projects : Mathematical modelling of nanomaterial thermo-rheological coating processes; Grant Number: 22UQU4331317DSR