Illustration of Joule dissipation on the time-dependent stagnation point flow of nanofluid through a porous surface

The proposed flow problem is to analyze the behavior of dissipative heat on the time-dependent stagnation motion of nanofluids through a permeable surface. A novel approach to thermal buoyancy through the permeable medium enriches the flow properties. In the recent industrial applications for the cooling processes of the device, like the physiological application of the blood flow inside the capillary tube-like artery, drug delivery system, etc., the role of nanofluid is crucial. The proposed model equipped with various physical properties is used to design and subsequent transformation into a non-dimensional form is obtained for a set of similarity variables. Proposed models with different physical properties are designed and subsequent dimensionless transformations are obtained for a similar set of variables. In addition, shooting based Runge-Kutta fourth-order numerical technique is used to solve boundary value problems for nonlinear ordinary systems. The characteristics of the diversified quantities are presented graphically as well as numerically on the flow profile and other profiles. Furthermore, statistical approaches such as t-tests for simulated results of rate coefficients are also presented and validated with the obtained results. However, the important outcomes are presented as; the fluid velocity is controlled by the inclusion of the particle concentration as well as the magnetic parameter further the particle concentration and the dissipative heat encountered by the inclusion of Eckert number enhances the fluid temperature.

Automated summary

The behavior of dissipative heat on the time-dependent stagnation motion of nanofluids through a permeable surface is analyzed using a proposed model with various physical properties. A novel approach to thermal buoyancy through the permeable medium enriches the flow properties. The proposed model is transformed into a non-dimensional form for a set of similarity variables and solved using a numerical technique. The results show that the fluid velocity is influenced by particle concentration and magnetic parameter, and the fluid temperature is enhanced by particle concentration and dissipative heat.