Maxwell Nanofluid Flow over an Infinite Vertical Plate with Ramped and Isothermal Wall Temperature and Concentration

Naveed Khan,Muhammad Arif,Zubair Ahmad,Farhad Ali,Aamina Aamina,Ilyas Khan,Constantin Fetecau

doi:10.1155/2021/3536773

Abstract

The aim of this study is to investigate how heat and mass transfer impacts the unsteady incompressible flow of Maxwell fluid. An infinite vertical plate with ramped and isothermal wall temperature and concentration boundary conditions is considered with the Maxwell fluid. Furthermore, in this study, engine oil has been taken as a base fluid due to its enormous applications in modern science and technologies. To see the importance of nanofluids, we have suspended molybdenum disulfide in engine oil base fluid to enhance its heat transfer rate. To investigate the flow regime, the system of equations was derived in the form of partial differential equations. The exact solutions to the complex system are obtained using the Laplace transform technique. Graphically, the impact of different embedded parameters on velocity, temperature, and concentration distributions has been shown. Through using the graphical analysis, we were interested in comparing the velocity, temperature, and concentration profiles for ramped and isothermal wall temperature and concentration. The magnitude of velocity, temperature, and concentration distributions is greater for an isothermal wall and less for a ramped wall, according to our observations. We observed that adding molybdenum disulfide nanoparticles to the engine oil increased the heat transfer up to 12.899%. Finally, the corresponding skin friction, Nusselt number, and Sherwood number have been calculated and presented in a tabular form.

Highlights

Academic Editor: Constantin Fetecau e aim of this study is to investigate how heat and mass transfer impacts the unsteady incompressible flow of Maxwell fluid
Raza and Asad [11] derived the solutions of Maxwell fluid flow considering a vertical flat plate. ey observed that increasing the fluid velocity with respect to Grashof number (Gr) and Maxwell parameter λ. e numerical solutions were obtained by Sui et al [12] calculating the Maxwell nanofluid over stretching sheet with the influence of heat and mass transfer using the homotopy analysis process
We studied the exact solutions of Maxwell fluid flow with ramped and isothermal wall boundary conditions in this study

Summary

Research Article

Naveed Khan ,1 Farhad Ali ,1 Muhammad Arif ,1 Zubair Ahmad ,1 Aamina Aamina ,2,3 and Ilyas Khan 4. E aim of this study is to investigate how heat and mass transfer impacts the unsteady incompressible flow of Maxwell fluid. An infinite vertical plate with ramped and isothermal wall temperature and concentration boundary conditions is considered with the Maxwell fluid. Many researchers have considered Maxwell fluid in their studies like Maxwell nanofluid flow over a vertical plate was analyzed by Aman et al [3] using the Laplace transform technique to find accurate solution to partial differential equations for initial and boundary conditions. Arif et al [4] studied Maxwell nanofluid flow and discussed some applications of their results in EO with the influence of ramped wall conditions. 2. Mathematical Formulation e unsteady incompressible Maxwell fluid flow over an infinite vertical plate with ramped and isothermal wall temperature and concentration was investigated in this research.

Continuity equation is given as

Solution of isothermal temperature is

Nu knf kf

Results and Discussion

Maxwell fluid velocity Newtonian fluid velocity