Newtonian heating effect on laminar flow of Casson fluids: Thermal analysis

Abstract

In the present study, free convective, laminar flow of Casson fluid is investigated numerically over a nonlinear stretched sheet to observe the characteristics of heat transfer in the presence of Newtonian heating. Nonlinear differential equations are derived from the present flow by utilizing the appropriate transformations. Thereafter, for the linear stretching case, an exact solution is applied for the momentum equation, and for the nonlinear stretching case, a convergent numerical technique, SRM, is applied. Computations of SRM and exact solutions are displayed through graphs. For various physical parameters, variation in velocity profile is observed by means of numerical computations and presented graphically. For checking the accuracy and convergence of the proposed method, outcomes are validated with the available outcomes in the literature and compared. The outcomes demonstrate that the velocity profile is reduced for the nonlinear stretching parameter effect, and, with increasing Pr, the temperature is decreased and there is a reduction in the thickness of the thermal boundary layer. K E Y W O R D SCasson fluid, exact solutions, Newtonian heating, nonlinear stretching sheet, SRM

Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid

“…) , 𝑖 = 0, 1, 2, … , 𝑁 𝑥 (35) at which the approximate solutions are to be obtained, and 𝑁 𝑥 represents the edge of the boundary layer. Now, Equation ( 33) can be written in the matrix form as…”

“…Trivedi et al 34 used quasilinearization at Chebyshev collocation points to obtain the solution to the unsteady flow of Casson fluid with nanoparticles. In a comprehensive analysis of laminar flow within Casson fluids, Kotha et al 35 employed collocation methods to discretize the differential equations, focusing on a detailed thermal analysis. Khader 36 utilized shifted Chebyshev polynomials to address the unsteady Casson fluid flow problem involving heat flux, specifically for scenarios with stretching sheets.…”

Analysis of an aligned magnetic nano-Casson fluid flow along with bio-convection based on Stefan's blowing

“…A stretched sheet containing bioconvection microorganisms was examined by Mahdy [31] for time-dependent MHD Eyring-Powell nanoliquids. In their papers, Gangadhar et al [32,33] investigated the movement of heat and mass in MHD flow with microorganisms present in water. Gangadhar et al [34] investigated Darcy free nanofluid convectional flow containing microorganisms in a porous media.…”

Thermophoretic particle deposition and heat generation analysis of Newtonian nanofluid flow through magnetized Riga plate

“…They also addressed the application of the improved nanofluid model in two phases with convective heating and crossflow conditions. Kotha et al 31 elaborated the thermal analysis of the laminar flow of Casson fluid with Newtonian heating effects. The Newtonian cooling‐heating effect in an annular permissible region is addressed by Anurag et al 32 Shah et al 33 deliberated the Soret and memory aspects on an unsteady flow with Newtonian heating.…”