Binary chemical reaction with activation energy in radiative rotating disk flow of Bingham plastic fluid

Abstract

This article presents flow, heat and mass transfer phenomena in Bingham plastic fluid. The flow channel is considered to be a rotating disk with a slip which is different in span and streamwise directions, and heat transfer is investigated using dissipation term of the fluid. Arrhenius activation energy and binary chemical reaction are the imperative features of the study of mass transfer. Bingham plastic fluid and anisotropic slip arethe key factors of the study due to their numerous applications in manufacturing industries. On the other hand, the radiative heat transfer phenomenon is considered which is widely used in nuclear and power generating systems. The partial differential equations that govern the flow, and heat and mass transfer are converted into ordinary differential equations by utilizing von Kármán's similarity transformation for rotating disk flows. The velocity, temperature, and concentration profiles and some important physical quantities are examined against important flow parameters. It is observed that the thermal radiation showed an increasing effect on temperature profile and the activation energy enhanced the mass transfer rate. The radial slip increased the volumetric flow rate and reduced the boundary layer thickness. The tangential slip reduced the volumetric flow rate and increased the boundary layer thickness. K E Y W O R D S activation energy, anisotropic slip, Bingham fluid, rotating disk, thermal radiation | INTRODUCTIONThe motivation for investigating the flows due to rotating disk drives from their occurrence in various real-world phenomena like aerospace engineering, centrifugal pumps, rotational air cleaners, gas turbine engineering, computer storage devices, turbomachinery, and chemical engineering. This area of research was initially explored by Kármán 1 in which he proposed a similarity transformation for flows over a rotating disk. Some of the recent research in this area focused on the flow of different non-Newtonian fluids under various flow conditions. [2][3][4][5][6][7][8] In 1889, Arrhenius 9 introduced the term activation energy; the minimum energy that a chemical system with potential reactants requires to produce a chemical reaction. The phenomenon of chemical reaction in the mass transfer has attracted a great deal of interest due to its numerous applications in geothermal engineering, oil reservoir, nuclear reactor cooling, and chemical engineering, and so on. All of these applications include the collective effect of binary chemically reactive species and Arrhenius activation energy. The idea of boundary layer fluid flow under the influence of activation energy and binary chemical reaction attracted the attention of many researchers in the last decade, whereas, this concept was disclosed by Bestman 10 in 1990. Some of the recent research studies on the topic are Ijaz, 2 Dhlamini et al, 11 Majeed et al, 12 and Kiran Kumar et al. 13 The radiative heat transfer phenomenon has gained massive attention due to numerous applications of radiative effect. It is mainly use...

MHD Carreau nanoliquid flow over a nonlinear stretching surface

“…In light of this, Mortimer and Eyring 26 developed a theory for the Soret and Dufour effect using the elementary transition state method. Many scholars followed this study, including Tsai and Huang 27 and Hayat et al 28 Non-Newtonian fluids are more suited to the chemical engineering sector than Newtonian fluids such as Casson fluid, Sutterby fluid, Bingham plastic fluid (Khan et al 29 ), and so forth. The Carreau fluid is one such Non-Newtonian fluid (NF) that has lately acquired a lot of traction because of its advantage over the power-law viscosity model.…”

“…Non‐Newtonian fluids are more suited to the chemical engineering sector than Newtonian fluids such as Casson fluid, Sutterby fluid, Bingham plastic fluid (Khan et al 29 ), and so forth. The Carreau fluid is one such Non‐Newtonian fluid ( NF ) that has lately acquired a lot of traction because of its advantage over the power‐law viscosity model.…”

Accelerated mineralization of textile wastewater under 222 nm irradiation from Kr/Cl2 excilamp: an environmentally friendly and energy efficient approach

“…It has been observed that the developed DBD Kr/Cl 2 excilamp has an instant start-up with full radiation output ( ∼ 2.0 mW/cm 2 ), in contrast to the mercury-based UV-C lamp, which has a start-up time of about 2.5 min 55 . The thermal conductivity of the treated suspension due to various reactive species can also be estimated by using numerical modelling techniques 56,57 . The Kr/Cl 2 excilamp is positioned above the water level, which has produced two important benefits.…”

Influence of Chemical Reaction and Arrhenius Activation Energy on Hydromagnetic Non-Darcian Casson Nanofluid Flow with Second-Order Slip Condition

“…Earlier on, Shafique [3] studied the impact of activation energy and chemical reaction on Maxwell fluid flow in a rotating frame. More details on binary chemical reaction can be found in ( [5][6][7][8][9], [44,45]). Casson fluid is one of the members of non-Newtonian fluids that exhibits yield stress and high shear viscosity [10].…”