Analytical Study on Unsteady Flow of a Hyperbolic Tangent Fluid in Existence of Porous Media of an Exponentially Stretched Sheet with Heat Transfer

Authors

• Nidhal M. Abd Alameer, Department of Mathematics, College of Science for Women, University of Baghdad, IraqFollow
• Sundos Bader, Department of Mathematics, College of Science, University of Baghdad, Baghdad, IraqFollow
• Fatima K. Abdullah, Department of Engineering Water Resources, College of Geometry, University of Baghdad, Baghdad, IraqFollow

Abstract

The unsteady flow of a tangential hyperbolic fluid with temperature in the presence of a sublimation medium and an exponential surface was discussed in this article. The law of conservation of mass, energy, and momentum is essential to the model of matter. To make it easier to identify solutions, the partial equations were converted into ordinary equations. We refer to this approach as the homotopic method. To explain the results, the Mathematica program was used to find the solutions and graphically depict them. The impact of the parameters on velocity, temperature was discussed, which are Random motion factor (Nb), Thermo-migration factor (N_t), Lewis number (l_e), Unsteady factor (A), Prandtl number (pr), Weissenberg number (w_e), and porosity parameter (P). The results shown in the graphs indicate that an increase in medium porosity affects the flow dynamics. Specifically, it conduces to gain in the velocity f while reducing the secondary velocity g. In addition, the flow speed is influenced by the unsteady factor; as A increases, the flow velocity rises. However, without P, an increment in unsteady factor cause a decline in velocity. Furthermore, an increase in w_e correlates with a decrease in velocity, and a temperature rise. The results also reveal that increasing p r decreases the temperature, but when N_t, Nb increase, the temperature rises and reduces the rate of heat transfer. Conversely, temperature decreases as l_e increases. Moreover, temperature changes slightly as P increases.

Keywords

Exponential sheet, Heat transfer, Hyperbolic-tangent fluid, Porous media, Unsteady flow

Subject Area

Mathematics

Article Type

Article

First Page

2907

Last Page

2921

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

Alameer, Nidhal M. Abd; Bader, Sundos; and Abdullah, Fatima K. (2026) "Analytical Study on Unsteady Flow of a Hyperbolic Tangent Fluid in Existence of Porous Media of an Exponentially Stretched Sheet with Heat Transfer," Baghdad Science Journal: Vol. 23: Iss. 8, Article 16.
DOI: https://doi.org/10.21123/2411-7986.5385