Heat transfer analysis in a hydromagnetic Walters' B fluid with elastic deformation and Newtonian heating

Abstract

In this study, a computational investigation is carried out to examine the interaction of heat generation/absorption with elastic deformation in a viscous hydromagnetic Walters’ B model past a stretching surface under the intensity of Newtonian heating. The model equations which are responsible for the motion of the fluid and heat interactions are reworked to ordinary differential equations by the appropriate similarity variables and solved via the homotopy analysis method. The parameters encountered were discussed through graphs and tables. The result reveals among others that the heat generation and Newtionian heating magnifies the temperature across the layer and makes quiescent fluid experience a thermal effect.

Interaction of radiation and chemical reaction on Walters' B fluid over a medium porosity of a vertical stretching surface

“…Here, a modern analytical technique like homotopy analysis method is preferred above others, due to its efficiency in solving problems with both bounded and unbounded domains. Subject to the procedure of the solution with associated conditions (18) and (19) (see Farooq et al 20 and Akinbo and Olajuwon 19 ), the initial guess is simplified as $$${f}_{0}(\zeta )=1-\text{exp}(-\zeta ),{\theta }_{0}(\zeta )=\frac{Bi\text{exp}(-\zeta )}{(1+Bi)},{\phi }_{0}(\zeta )=\text{exp}(-\zeta ).$$$…”

“…Here, a modern analytical technique like homotopy analysis method is preferred above others, due to its efficiency in solving problems with both bounded and unbounded domains. Subject to the procedure of the solution with associated conditions (18) and (19) (see Farooq et al 20 and Akinbo and Olajuwon 19 ), the initial guess is simplified as…”

“…By the introduction of $$u=\frac{\partial \psi }{\partial y}$$ and $$v=-\frac{\partial \psi }{\partial x}$$, Equation (6) is obviously achieved 19 while the reformed equations of the model are obtained by the application of $$$\zeta =y\sqrt{\frac{a}{\nu }},\psi =x\sqrt{a\nu }f(\zeta ),\theta (\eta )=\frac{T-{T}_{\infty }}{{T}_{f}-{T}_{\infty }},\phi (\eta )=\frac{C-{C}_{\infty }}{{C}_{w}-{C}_{\infty }},$$$where $$\zeta $$ denotes independent similarity variable, $$\theta $$($$\zeta )$$ stands for dimensionless temperature while $$\varnothing (\zeta )$$ represents dimensionless concentration. Apply Equation (14) into Equations (7), (13), and (9), we have …”

“…By the introduction of 6) is obviously achieved 19 while the reformed equations of the model are obtained by the application of…”

Dynamics of Cattaneo-Christov heat flux and chemical reaction in Walters’ B fluid through a porous medium with Newtonian heating and heat generation/absorption

“…[22], Akinbo and Olajuwon[23][24][25][26], series solution constructed via the method techniques with non-zero control variables ℏ 𝑓 , ℏ 𝜃 𝑎𝑛𝑑 ℏ ∅ help to adjust and regulate the region of the series solution.Engaging 𝑄 = 0.1, 𝑆𝑐 = 0.24, 𝑊𝑒 = 0.1, 𝑃 𝑠 = 0.1, 𝑃𝑟 = 1.2, 𝛾 = 0.1, 𝜆 𝑒 = 0.1, and 𝑅 = 0.1. Hence, the convergence values of ℏ 𝑓 , ℏ 𝜃 and ℏ ∅ are picked at the parallel region of ℏ − 𝐶𝑢𝑟𝑣𝑒, as ℏ 𝑓 ∈ [−2.7, −0.2], ℏ 𝜃 ∈ [−3.7, −0.3] and ℏ ∅ ∈ [−2.3, −0.2] (See Fig.…”