https://doi.org/10.1140/epjp/i2019-12651-9
Regular Article
Numerical investigation of the unsteady solid-particle flow of a tangent hyperbolic fluid with variable thermal conductivity and convective boundary
1
Department of Mathematics, Quaid-i-Azam University, 44000, Islamabad, Pakistan
2
Department of Mathematics and statistics, FBAS, International Islamic University, 44000, Islamabad, Pakistan
3
Department of Mathematics, College of Sciences, King Khalid University, 61413, Abha, Saudi Arabia
4
Department of Mathematics, Air University, 44000, Islamabad, Pakistan
* e-mail: madihabibi@math.qau.edu.pk
Received:
11
January
2019
Accepted:
26
March
2019
Published online:
27
June
2019
The present paper contains the computational estimations of the magnetized particulate flow of a tangent hyperbolic fluid due to the linearized stretching of the porous sheet under consideration of time dependency. Heat flow is affected by heat generation/absorption with the mediation of variable thermal conductivity and convective boundary conditions. According to the modeling of particulate flow, separate PDEs for fluid and particles are modeled. The assistance of the boundary layer approximation and appropriate transformations convert these PDEs into nonlinear ODEs and corresponding conditions. Approximate results are generated with the help of the numerical technique bvp4c. Upshots of emerging parameters such as unsteadiness parameter, magnetic parameter, Biot number, etc., of the present study are elaborated with the support of graphs and numeric values.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019