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Multiple nature analysis of Carreau nanomaterial flow due to shrinking geometry with heat transfer

Original Article
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Abstract

An astonishing feature of modern research in the field of fluid flow and heat transfer is the suspension of small solid particles (nanoparticle) in the working fluid to increase the low thermal conductivity of these fluids. Because of unique chemical and physical properties, nanomaterials are being progressively utilized in almost every field of science and technology. Therefore, the intent of current manuscript is to theoretically examine the magneto-hydrodynamic flow of Carreau nanofluids along with heat transport in the presence of heat generation driven by a wedge-shaped shrinking geometry. We incorporated the revised Buongiorno’s model in which nanofluids particle fraction on the boundary is passively controlled. Mathematical modeling of assumed physical problem results in a system of non-linear partial differential equations outlining the basic conservation laws. The governing problem is made dimensionless with the assistance of non-dimensional variables and numerical solutions are computed via a built-in MATLAB solver bvp4c. The computed results showed that multiple solutions (first and second) exist for the non-dimensional velocity, temperature and concentration distributions by applying the said numerical scheme. We concluded that by enhancing the magnetic parameter the nanofluid velocity increases in case of second solution while an opposite is true for temperature. Further, the outcomes indicate that higher heat generation parameter leads to enhance the temperature distributions in both solutions.

Keywords

Carreau nanofluid Multiple solutions Heat generation/absorption Wedge-shape geometry Magnetic field 

Notes

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Copyright information

© King Abdulaziz City for Science and Technology 2019

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsRiphah International UniversityIslamabadPakistan

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