Instantaneous Thermal-Diffusion and Diffusion-Thermo  Effects on Carreau Nanofluid Flow Over a Stretching Porous  Sheet

Nabil Tawfik Eldabe; Galal M. Moatimid; Mohamed Abouzeid; Abdelhafeez A. El-Shekhipy; Naglaa Fawzy Abdallah

Authors

Nabil Tawfik Eldabe Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, Egypt
Galal M. Moatimid Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, Egypt
Mohamed Abouzeid Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, Egypt
Abdelhafeez A. El-Shekhipy Department of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, 31441, Dammam, Saudi Arabia
Naglaa Fawzy Abdallah Institute of Engineering and Technology for Cars and Energy, New Heliopolis, Cairo, Egypt

Keywords:

Boundary-layer flow, Heat generation, Thermal radiation, Padé-differential transformation method approximation, Multi-step differential transform method

Abstract

In this study, the system of nonlinear partial differential equations of boundary-layer steady flow of Carreau nanofluid over a moving stretching sheet is modulated. Moreover, both thermal diffusion and diffusion thermo effects are considered. This system has been simplified into a system of nonlinear ordinary differential equations using appropriate similarity transformations. Then it has been solved by using the multi-step differential transformation method and the differential transformation method with Padé approximation. These methods represent approximations with a high degree of accuracy and minimal computational effort for studying the particle motion in a steady boundary layer flow and heat transfer over a porous moving plate in presence of thermal radiation. In addition, the velocity, temperature and nanoparticles concentration profiles are obtained and depicted graphically in the current study. The porosity parameter effect on the stretching velocity is analyzed and it is shown that the increase of porosity parameter tends to reduce the stretching velocity.