Abstract
This research examines the features of liquid film of non-Newtonian fluids under the influence of thermophoresis. For this study, we proposed a mathematical model for Jeffrey, Maxwell, and Oldroyd-B fluids and concluded the unsteady stretched surface in the existence of a magnetic field and also the thermal conductivity was measured which is directly related to the temperature whereas the viscosity inversely related to the temperature. Inserting the thermophoretic effect which improved the thermal conductivity of Jeffrey fluid over the Oldroyd-B and Maxwell fluids. The model is helpful for the liquid flow of Jeffrey, Maxwell, and Oldroyd-B fluid including the Brownian motion parameter effect. The results have been obtained through optimal approach compared with numerical (ND-Solve) method. Study mainly focused to understand the physical appearance of the embedded parameters based on the characteristic length of the liquid flow. The behavior of skin friction, local Nusselt number, and Sherwood number has been described numerically for the dynamic constraints of the problem. The obtained results are drafted graphically and discussed.
Highlights
The flow analysis of thin film flow has got significant devotion due to its gigantic usages and application in the area of industries, engineering, and technology in a recent few years
The homotopy analysis method (HAM) solution has been compared with numerical method (ND-Solve Method) and the agreement of these two techniques has been displayed through graphs and tables
Regarding to various applications in engineering and industrial apparatus of the study, we extend a mathematical model for studying the liquid film flow of nonNewtonian fluids with variable viscosity and thermal conductivity in the presence of a magnetic field
Summary
The flow analysis of thin film flow has got significant devotion due to its gigantic usages and application in the area of industries, engineering, and technology in a recent few years. Advances in Mechanical Engineering processing of food stuff, continuous casting, plastic sheets drawing, and fluidization of reactor, exchanges, and chemical processing equipment are some of its well-known applications. In view of these applications, it becomes an important issue for researchers to develop the study of liquid film on a stretching surface. Usha and Sridharan[4] worked on the same problem and extended it to liquid film fluid with heat transmission analysis of horizontal sheet. Tawade et al.[7] inspected thin liquid flow over an instable extending sheet with thermal radioactivity, in the existence of magnetic field, using the Runge-Kutta–Fehlberg and Newton– Raphson method for solution of non-linear equations. A brief discussion is given on physical parameters in his work
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