4.3 Article

An investigation of variable viscosity Carreau fluid and mixed convective stagnation point flow

Journal

PRAMANA-JOURNAL OF PHYSICS
Volume 96, Issue 2, Pages -

Publisher

INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-022-02307-0

Keywords

Ohmic heating; stagnation point flow; Carreau fluid; thermal conductivity; mixed convection; variable viscosity

Funding

  1. Deanship of Scientific Research at King Khalid University [1/135/42]

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In this study, the effects of adding nanoparticles to incompressible Carreau fluid with variable properties on heat transfer were investigated using mathematical modeling and numerical methods. It was found that increasing the activation energy rate decreases the Nusselt number, which is related to the exponential fitted rate. Additionally, the impacts of different physical parameters on fluid characteristics were analyzed through graphical and numerical data.
Here, our aim is to investigate incompressible Carreau fluid with variable properties and nanoparticles are considered to improve the heat transfer. This communication also highlights the thermal significances of Joule heating and incorporation of activation energy. The mathematical modelling is constructed for physical phenomena by assuming boundary layer problems. The well-known numerical treatment Bvp4c is utilised to solve the nonlinear problem and transform the governing equations. The effects of different physical parameters are assessed graphically and numerical data of skin friction and Nusselt number are explored. It is noted that activation energy rate improves and it decreases with the exponential fitted rate on concentration profile. The simulations for the current model reveal that the Nusselt number decreases with increasing exponential fitted rate and elastic deformation while for activation it increases.

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