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Numerical solutions to heat transfer of nanofluid flow over stretching sheet subjected to variations of nanoparticle volume fraction and wall temperature

Salari, M. ; Mohammadtabar, M. ; Mohammadtabar, A.

Applied mathematics and mechanics, 2014, Vol.35 (1), p.63-72 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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  • Título:
    Numerical solutions to heat transfer of nanofluid flow over stretching sheet subjected to variations of nanoparticle volume fraction and wall temperature
  • Autor: Salari, M. ; Mohammadtabar, M. ; Mohammadtabar, A.
  • Assuntos: Applications of Mathematics ; Classical Mechanics ; Fluid flow ; Fluid- and Aerodynamics ; Heat transfer ; Mathematical Modeling and Industrial Mathematics ; Mathematical models ; Mathematics ; Mathematics and Statistics ; Nanocomposites ; Nanofluids ; Nanomaterials ; Nanostructure ; Niobium ; Partial Differential Equations ; Prandtl number ; Wall temperature
  • É parte de: Applied mathematics and mechanics, 2014, Vol.35 (1), p.63-72
  • Notas: M. SALARI^1, M. MOHAMMADTABAR^2, A. MOHAMMADTABAR^3 （1. Department of Mechanical Engineering, Imam Hussein University, Tehran 16756-00995, Iran; 2. Department of Mechanical Engineering, University of Alberta, Edmonton AB T6G 2G8, Canada 3. Department of Mechanical Engineering, Islamic Azad University, Tehran 11365-04435, Iran）
    31-1650/O1
    The numerical analysis of heat transfer of laminar nanofluid flow over a fiat stretching sheet is presented. Two sets of boundary conditions （BCs） axe analyzed, i.e., a constant （Case 1） and a linear streamwise variation of nanopaxticle volume fraction and wall temperature （Case 2）. The governing equations and BCs axe reduced to a set of nonlinear ordinary differential equations （ODEs） and the corresponding BCs, respectively. The dependencies of solutions on Prandtl number Pr, Lewis number Le, Brownian motion number Nb, and thermophoresis number Nt are studied in detail. The results show that the reduced Nusselt number and the reduced Sherwood number increase for the BCs of Case 2 compared with Case 1. The increases of Nb, Nt, and Le numbers cause a decrease of the reduced Nusselt number, while the reduced Sherwood number increases with the increase of Nb and Le numbers. For low Prandtl numbers, an increase of Nt number can cause to decrease in the reduced Sherwood number, while it increases for high Prandtl numbers.
    stretching sheet, nanofluid, laminar boundary layer, Brownian motion,thermophoresis, partial differential equation, numerical solution
    ObjectType-Article-1
    SourceType-Scholarly Journals-1
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  • Descrição: The numerical analysis of heat transfer of laminar nanofluid flow over a fiat stretching sheet is presented. Two sets of boundary conditions （BCs） axe analyzed, i.e., a constant （Case 1） and a linear streamwise variation of nanopaxticle volume fraction and wall temperature （Case 2）. The governing equations and BCs axe reduced to a set of nonlinear ordinary differential equations （ODEs） and the corresponding BCs, respectively. The dependencies of solutions on Prandtl number Pr, Lewis number Le, Brownian motion number Nb, and thermophoresis number Nt are studied in detail. The results show that the reduced Nusselt number and the reduced Sherwood number increase for the BCs of Case 2 compared with Case 1. The increases of Nb, Nt, and Le numbers cause a decrease of the reduced Nusselt number, while the reduced Sherwood number increases with the increase of Nb and Le numbers. For low Prandtl numbers, an increase of Nt number can cause to decrease in the reduced Sherwood number, while it increases for high Prandtl numbers.
  • Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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