Squeezing flow of Casson fluid between two circular plates under the impact of solar radiation

Abstract

The transient squeezing flow of 2D Magnetohydrodynamics (MHD) considering Casson fluid in the existence of solar irradiance is clarified numerically and theoretically. Generally, to minimize the energy utilized in the solar unit, we must track the heat and mass transition procedure in the solar irradiance process. In this issue, we assumed the dynamic of mass and heat diffusivity as the function of temperature. The employed model, which is run by the (Partial Differential Equations) PDEs system, manages by the Similarity method and the MATLAB bvp4c package. As can be obtained, the validation of numerical outcomes plays approvingly whenever collated with the previous literature. Eventually, the following investigations are performed. It is indicated that the presence of squeezed numbers plays a crucial role, and an increase in the squeezing factor boosts the temperature of non-Newtonian fluid about 20%. Also, the higher quantities of floating viscosity remarkably affect skin friction. Also, an increment in the chemical reaction rate diminishes the mass concentration profile. Besides, an increase in Pr number from 0.1 to 1.5 leads to a 1% increase in dimensionless temperature 𝜃(𝜂) and a decrease in Nr from 1 to 0.01 and in squeezing parameter cause to 5% and 17% enhancement in 𝜃(𝜂). Regarding the Schmitt number of 0.7 and the 𝜁 3 of 0.3, the skin friction increases up to one. Furthermore, at the higher quantities of thermal conductivity, the Ec number boosts the 20% fluid flow temperature profile within the squeezing channel.

A novel technique to analyze the fractional model of Williamson and Casson non-Newtonian boundary layer flow

“…, 2022a; Jalili et al. , 2022b; Jalili et al. , 2023) have recently considered various fluid flow problems with Casson and Williamson fluids.…”

“…The current issue and full text archive of this journal is available on Emerald Insight at: https://www.emerald.com/insight/1573-6105.htm thickness sheets. Many researchers ( Jalili et al, 2022a;Jalili et al, 2022b;Jalili et al, 2023) have recently considered various fluid flow problems with Casson and Williamson fluids. In mathematics, the fractional derivative is more accurate than ordinary examples because it makes us better describe and understand the phenomena that occur in reality, including chemical, physical, biological and other phenomena (Podlubny, 1999;Sweilam et al, 2020;Sinan et al, 2021;Khader, 2011).…”

The new analytical and numerical analysis of 2D stretching plates in the presence of a magnetic field and dependent viscosity

“…Also, the fluid movements were examined in their reports. Jalili et al 10 explained the transient squeezing flow of 2D MHD involving Casson fluid in the presence of solar irradiance numerically and theoretically. A Casson fluid model is based on the assumption that the fluid consists of rigid spherical particles that are held together by a yield stress.…”

Squeezing unsteady nanofluid flow among two parallel plates with first‐order chemical reaction and velocity slip

“…Jeffrey fluid was considered by Mat Noor et al 13 for squeezing flow in attendance of a “magnetic field.” Soret and Dufour effects and “thermal radiation” effects were also studied by them. Jalili et al 14 explored “heat and mass transport” of Casson liquid flow squeezed amid two parallel circular plates and explored the magnetohydrodynamic effect. There are some research works in which researchers investigated fluid flow through two parallel disks or surfaces, channels and showed the behavior of heat and mass transfer 15,16 …”