HALL AND HEAT SOURCE EFFECTS OF FLOW PAST A PARABOLIC ACCELERATED ISOTHERMAL VERTICAL PLATE IN THE PRESENCE OF CHEMICAL REACTION AND RADIATION

We study Hall current, heat source with radiation and chemical reaction of first order viscous fluid flow, incompressible fluid with heat and mass transfer past an accelerated isothermal vertical plate. The inverse Laplace transform technique is used to solve the ascendant mathematical statement. The numerical values are given after our study of the acceleration, thermal reading and adsorption for certain parameters, including thermal Grashof number, Prantdl number, Schmidt number, and mass Grashof number. Based on the study, we found out that the velocity of the fluid increases with increase in heat, Hall current as well as Grashof value and it decreases with increase in radiation. Concentration reduces when chemical reaction increases.


Introduction
The evaluation of fluid movement is an important part of the reactor heat transfer as it can be used to a wide range of systems, including biological systems, household appliances, homes and businesses, industrial operations, and food preparation like electronic equipment cooling, formation of heating and coolant systems, refrigeration of food among many others. Das et al. [1] studied how a first order homogeneous chemical reaction would alter an irregular fluid flow. Muthukumaraswamy [2] made a similar study regarding how the change in reaction affects the velocity. Sarki and Ahmed [3] also made similar study and found that the velocity of fluid increases with increase in Gr, K, t and Gc, while Thamizhsudar et al. [4] observed that axial velocity increases with increase in Hall parameter, mass as well as Grashof number. Dilip Jose and Selvaraj [5] found that the velocity increases with increase in Gr and Gc. Uwanta and Sani [6] analyzed how the parameters of the thermal Gr, Gc, t and the variable of thermal conductivity cause velocities to rise while the parameters of the Pr, Sc, R, k and magnetic field cause velocities to decrease. While temperature reduces with increasing Prandtl number, radiation, and suction factors, it rises with increase in thermal conductivity and heat source characteristics. With increase in Sc and k, the concentration reduces. Maran et al. [7] presented graphical estimation of temperature, float speed which clearly conveys that an executed attractive region's tendency edge increases with declining speed. Rachna [8] carried a fine theoretical work obtaining the velocity to rise with increase in Gr and Gc. The impacts of the non-uniform heat parameter on dynamics are depicted in chart by Abel and Mahesha [9]. The numerical technique on several parameters of heat radiation was obtained by Ferdows et al. [10]. The Hall current effect on unsteady hydromagnetic flow was studied by Acharya et al. [11]. Siddheshwar and Mahabaleshwar [12] talked about how heat transport over a stretched sheet and MHD flow of a viscoelastic liquid is affected by radiation and heat sources. Sharma and Singh [13] described how heat-generating system is subjected to a transverse magnetic field. Muthucumaraswamy and Geetha [14] investigated the parabolic motion effects on an isothermal vertical plate. The inverse Laplace transform is solved in Hetnarski's Zastosowania Metamatikyki VII paper [15,16].

Numerical Formulation
Here, we assume viscous, incompressible fluid that conducts current flowing past an infinite plate that is located in the plane .
The y-axis is normal to other axes, while x-axis is measured in the object's drift order.
This plate is parabolic accelerated along the x-axis with a velocity of .
The boundary conditions are The consequent dimensionless aggregate is: From the above, it is clear that we should determine the values of thermal layer transfer and proportionate heat transfer when measuring velocity since Pr is the ratio between momentum and thermal diffusivity. The heat transfer known as the Grashof number calculates the buoyancy to viscosity ratio. Since the buoyant force, as opposed to the viscous force, is mostly responsible for the convection, it is appropriate to measure the fluid to demonstrate this.
To examine the diffusion coefficient, use Schmidt as the ratio between mass diffusivity and momentum. First order chemical reaction on flow past a parabolic with rotation is shown using coupled partial differential equations. Complex velocity iv u q + = was used to solve equations (1) and (2), which were then combined into one equation:

Elucidation of the Problem
Solving equation (7) using (8) with the aid of Laplace transforms, we obtain

Results and Discussion
The velocity for changing values of k, Sc, Pr, Gr, Gc, h, R and Q has been presented in the diagrams given in this section.          The velocity reduces when k rises.    The velocity reduces when Schmidt (Sc) number rises.
In Figures 6 to 21, the velocity profiles are depicted.

Conclusion
As this is a variational study from the literature involving accelerated isothermal vertical plate with the basic HMT aspects, this provides a simple and nice platform for computational work and based on the calculations, we could conclude that (ii) Temperature falls when radiation 'R' rises and Temperature rises when heat source 'Q' rises.
(iii) Concentration reduces when chemical reaction 'k' increases.
So, we are able to achieve an extended list of conclusions by the variation and we intend to enhance the study by including more parameters in our future study.