Numerical solution for heat transfer of Oldroyd–B fluid over a stretching sheet using successive linearization method

Abstract

The objective of this study is to find the numerical solution for the MHD flow of heat transfer to the incompressible Oldroyd-B liquid on a stretching sheet channel. The partial differential equations governing this system are converted into ordinary differential equations using similarity conversion. The resulting nonlinear equations governing the flow problem are numerically solved by the successive line method (SLM). Numerical results are derived and presented in tables for some comparisons. These comparisons are important in demonstrating the high accuracy of SLM in solving the system of nonlinear differential equations. These solutions take into account the behavior of Newtonian and non-Newtonian fluids. It is reported that Deborah number in terms of relaxation time resists and slows down the motion of fluid particles at various time instants. Temperature profile increase by increasing Deborah number in terms of relaxation time. The graphical results of various non-Newtonian parameters such as coefficient of mixed convection, Hartman, Deborah, and Prandtl number on the flow, field, and analysis are also discussed. In addition, the current results were tested and compared to the published results available in a limited manner, and an excellent agreement was reached.

Numerical solution for MHD Flow of an Oldroyd–B fluid over a stretching sheet in the presence of thermophoresis with chemical reaction effects

“…Here, we test the validity of our numerical results and contrast them with those of published works as limiting examples. So, we contrast the outcomes of this study with those found in the literature (Ghadikolaei et al, 2018;Salah and Elhafian, 2019;Noor, 2012;Shateyi, 2013). It is found that our results are in excellent agreement with Noor (2012) and Shateyi (2013) as shown in Tables 2-5.…”

“…The SLM technique presupposes that the solution of system of Eqs. 13-15 can be represented as (Salah et al, 2023;Ahmed et al, 2016;Salah and Elhafian, 2019):…”

“…Comparison of SLM finding of 𝑓(𝜂) with those found inGhadikolaei et al (2018) andSalah and Elhafian (2019) for various values of 𝜂 when 𝑀 = 𝛽 1 = 𝜆 = 0.0 and 𝛽 2 = 0.01…”

Numerical Study for MHD Flow of an Oldroyd-B Fluid Over a Stretching Sheet in the Presence of Thermal Radiation with Soret and Dufour Effects

“…The stretched surface is given a magnetic field that is consistently consistent and uniform in a normal direction. Under the constant and boundary layer assumptions, the continuous constitutive equation of the Oldroyd-B fluid and energy equation is presented below [42][43][44]:…”

A semi-analytical strategy for mixed convection non-Newtonian nanofluid flow on a stretching surface using Cattaneo-Christov model

“…Gupta et al 18 deliberated flow of second grade non Newtonian fluid over stretching plane. Salah and Elhafian 19 studied flow of non-Newtonian second grade fluid on an extending surface using a numerical technique. Hayat et al 20 explored Maxwell fluid flow on moving sheet of unequal thickness.…”