Forced convection heat transfer of nanofluids from a horizontal plate with convective boundary condition and a line heat
- PDF / 1,721,828 Bytes
- 14 Pages / 595.276 x 790.866 pts Page_size
- 104 Downloads / 247 Views
Forced convection heat transfer of nanofluids from a horizontal plate with convective boundary condition and a line heat source embedded in porous media Iskander Tlili1,2 · Masoud Rabeti3 · Mostafa Safdari Shadloo4 · Zahra Abdelmalek5,6 Received: 3 January 2020 / Accepted: 19 February 2020 © Akadémiai Kiadó, Budapest, Hungary 2020
Abstract In this study, forced convective flow of nanofluids over a horizontal flat plate with convective boundary condition and a heated line source which are immersed in a Darcy porous medium is analyzed. For both cases, by taking suitable similarity variables, the governing partial differential equations are transformed into ordinary differential equations (ODEs) and exact analytical solutions are obtained for these ODEs. For both cases, the impact of nanoparticles volume fractions, the porosity of the porous medium, the thermal conductivity of the porous medium and the types of nanoparticles on the heat transfer of nanofluids are investigated, while the effect of a convective heating parameter (Nc) on the heat transfer of nanofluids is solely conducted for horizontal plate. Keywords Darcy porous medium · Nanofluids · Convective boundary condition · Line heat source List of symbols K Permeability (m2) k Thermal conductivity (W m−1 K−1) cp Specific heat at constant pressure (J kg−1 K−1) Nux Local Nusselt number * Zahra Abdelmalek [email protected] Iskander Tlili [email protected] Masoud Rabeti [email protected] Mostafa Safdari Shadloo [email protected] 1
Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam
2
Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3
Department of Mechanical Engineering, Sousangerd Branch, Islamic Azad University, Sousangerd, Iran
4
CORIA Lab/CNRS, University and INSA of Rouen, Normandie University, 76000 Rouen, France
5
Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
6
Faculty of Medicine, Duy Tan University, Da Nang 550000, Vietnam
NC Dimensionless convective heating parameter Pex Local Péclet number P Pressure (N m−2) U∞ Velocity at infinity (m s−1) T Fluid temperature (K) Tw Surface temperature (K) Tf Temperature of hot fluid (K) T∞ Ambient temperature (K) u, v Darcy velocities (m s−1) x, y Cartesian coordinates (m) hf Convective heat transfer coefficient of the hot fluid (W m−2 K) ′′ Surface heat flux or rate of heat released by the qw line source per unit area (W m−2) q′ Rate of heat released by the line source per unit length (W m−1) Greek symbols α Thermal diffusivity (m2 s−1) φ Nanoparticles volume fraction θ Dimensionless temperature μ Dynamic viscosity (kg m−1 s−1) ρ Density (kg m−3) (ρcp) Heat capacity (kg m−3 K−1) η Similarity variable ε Porosity ψ Stream function (m2 s−1)
13
Vol.:(0123456789)
Subscripts bf Base fluid p Particle nf Nanofluid m Porous medium f Hot fluid m, bf Sufficient value for porous medium and base fluid m, nf
Data Loading...
