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Entropy generation due to natural convection in a partially heated cavity by local RBF-DQ method

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Abstract

The Local Radial Basis Function-Differential Quadrature (RBF-DQ) method is applied to two-dimensional incompressible Navier-Stokes equations in primitive form. Numerical results of heatlines and entropy generation due to heat transfer and fluid friction have been obtained for laminar natural convection. The variations of the entropy generation for different Rayleigh numbers are also investigated. Comparison between the present results and previous works demonstrated excellent agreements which verify the accuracy and flexibility of the method in simulating the fluid mechanics and heat transfer problems.

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Abbreviations

Be:

Bejan number

c :

Shape parameter

\(\bar{c}\) :

Constant in the transformed form of MQ test functions

g :

Acceleration due to gravity (m s−2)

H :

Length (m)

K :

Thermal conductivity (W m−1 K−1)

Nu:

Nusselt number

P :

Dimensionless pressure

Pr:

Prandtl number

p :

Pressure (Pa)

Ra:

Rayleigh number

S :

Dimensionless entropy generation

T :

Temperature (K)

T 0 :

Bulk temperature (T h +T c )/2 (K)

t :

Time (s)

U,V :

Dimensionless fluid velocities

u,v :

Velocity components in x and y directions (m s−1)

X,Y :

Dimensionless Cartesian coordinates

x,y :

Cartesian coordinates (m)

α :

Thermal diffusivity (m2 s−1)

β :

Volumetric coefficient of thermal expansion (K−1)

μ :

Viscosity (N s m−2)

ν:

Kinematic viscosity (m2 s−1)

ρ :

Fluid density (kg m−3)

τ :

Dimensionless time

φ :

Irreversibility distribution ratio

c :

Cold

f :

Fluid

f.f :

Fluid friction

h :

Hot

h.t :

Heat transfer

l :

Local

t :

Total

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Authors and Affiliations

  1. Mechanical Engineering Faculty, Babol University of Technology, Babol, Iran

    Soheil Soleimani, A. Qajarjazi, H. Bararnia & G. Domairry

  2. Department of Civil Engineering, Aalborg University, Sohngårdsholmsvej 57, 9000, Aalborg, Denmark

    A. Barari

Authors
  1. Soheil Soleimani
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  2. A. Qajarjazi
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  3. H. Bararnia
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  4. A. Barari
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  5. G. Domairry
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Correspondence to A. Barari.

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Soleimani, S., Qajarjazi, A., Bararnia, H. et al. Entropy generation due to natural convection in a partially heated cavity by local RBF-DQ method. Meccanica 46, 1023–1033 (2011). https://doi.org/10.1007/s11012-010-9358-0

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  • DOI: https://doi.org/10.1007/s11012-010-9358-0

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