Influence of Inclined Magnetic Field on Carreau Nanoliquid Thin Film Flow and Heat Transfer with Graphene Nanoparticles

Noor Saeed Khan, Taza Gul, Poom Kumam, Zahir Shah, Saeed Islam, Waris Khan, Samina Zuhra and Arif Sohail
Additional contact information
Noor Saeed Khan: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Khyber Pakhtunkhwa, Pakistan
Taza Gul: Department of Mathematics, City University of Science & Information Technology, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
Poom Kumam: KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand
Zahir Shah: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Khyber Pakhtunkhwa, Pakistan
Saeed Islam: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Khyber Pakhtunkhwa, Pakistan
Waris Khan: Department of Mathematics, Kohat University of Science & Technology, Kohat 26000, Khyber Pakhtunkhwa, Pakistan
Samina Zuhra: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Khyber Pakhtunkhwa, Pakistan
Arif Sohail: Department of Mathematics, Islamia College University, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan

Energies, 2019, vol. 12, issue 8, 1-20

Abstract: The thermodynamics of a Carreau nanoliquid thin film embedded with graphene nanoparticles past a stretching sheet is studied in the presence of inclined magnetic field and non-uniform heat source/sink. Graphene is a new two-dimensional amphiphilic macromolecule which has great applications due to its electrical and mechanical properties. The basic constitutive equations of Carreau nanoliquid for velocity and temperature have been used. Similarity transformations are adopted to achieve the nonlinear coupled differential equations accompanying boundary conditions embedded with different parameters. HAM (Homotopy Analysis Method) is used to solve the transformed equations for expressions of velocity and temperature. Graphs are shown which illustrate the effects of various parameters of interest. There exists a nice agreement between the present and published results. The results are useful for the thermal conductivity and in the analysis and design of coating processes.

Keywords: graphene nanoparticles; nanoliquid thin film; Carreau fluid; heat transfer; stretching sheet; homotopy analysis method (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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