International Journal of Emerging Multidisciplinaries: Mathematics

Corresponding Author

Syed Tehseen Abbas

Document Type

Research Article

Subject Areas

Applied Mathematics and Computations; Numerical Analysis and Differential Equations


3D stretched Flow, Entropy Analysis, radiation effect, Optimal homotopy analysis method, Viscous Fluid


A useful technique for comprehending the thermodynamic behavior of fluid flows is entropy analysis. In this paper, we explore the involvement and transfer of entropy in a stretched three-dimensional flow of a viscous fluid. The flow is presumed to be both laminar and incompressible, whereas the properties of the fluid are considered to be unchanged. The governing equations: continuity; momentum; and energy equations; are calculated using the necessary boundary conditions. Considering the acquired velocity and temperature profiles, the entropy generation rate and fluxes are calculated. The results demonstrate that entropy production is significantly influenced by the flow's stretching rate. Through the impacts of heat transmission, the temperature gradient also contributes to the creation of entropy. The entropy fluxes also show the directions in which entropy is transferred within the flow. It is discovered that the entropy flux from heat transfer is considerably close to areas with high-temperature gradients. This research sheds important light on the thermodynamic behavior of a stretched viscous flow in three dimensions. Irreversibility and energy losses connected are fully understood. Entropy analysis provides greater knowledge of the irreversibility and energy losses connected to such flows. To reduce entropy generation and increase overall efficiency, these results can help with the design and optimization of fluid systems.

Receive Date


Accept Date


Publication Date