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2D Numerical Analysis of Natural Convection in Vertical Fins on Horizontal Base

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Numerical Heat Transfer and Fluid Flow

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

Natural convection heat transfer from a finned horizontal flat plate at a constant temperature has been studied in this work. It analyzes the fin performance and; natural convection behavior of the finned horizontal flat plate. A complete picture of heat transfer on the horizontal finned surface (temperature and velocity contours) is captured. Then behaviors of multi-number of fins (2, 4, 6, 8, 10 and 12 fins) were analyzed in the current progressed work. The base body is subjected to constant temperature difference from the surrounding ∆T = 40 K for all cases in the laminar range, i.e., Raleigh number \( 5 < {\text{Ra}} < 10^{8} \). The types of plumes caused are pictorially viewed. This work is progressed by comparing the graphical relation between Q (heat transfer) to \( S^{*} = S/L \).

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Abbreviations

A :

Area of fins for convection m2

G :

Gravitational acceleration m/s2

H b :

Height of base surface mm

H fin :

Height of the fin mm

h c :

Average heat transfer coefficient W/m2 K

K :

Conductivity of fin apparatus W/m K

L :

Length of the cylinder mm

N :

Number of fins

Nu:

Average Nusselt number

P :

Pressure N/m2

P atm :

Atmospheric pressure N/m2

Q :

Convected heat transfer W

R :

Specific gas constant J/kg K

Ra:

Raleigh Number

S :

Spacing between fins mm

S/L:

Nondimensional fin spacing

T :

Thickness of the fin mm

T s :

Surface temperature K

T ∞ :

Ambient temperature K

u, v, w:

Velocity components of fluid m/s

x, y, z:

Cartesian spatial Coordinates m

α :

Thermal diffusivity m2/s

β :

Thermal expansion coefficient 1/K

∆T:

Temperature difference K

ν :

Kinematic viscosity m2/s

ρ :

Density kg/m3

References

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, VSSUT, Burla, 768017, Odisha, India

    Sunirmal Karmakar & Aurovinda Mohanty

Authors
  1. Sunirmal Karmakar
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  2. Aurovinda Mohanty
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Corresponding author

Correspondence to Aurovinda Mohanty .

Editor information

Editors and Affiliations

  1. National Institute of Technology Warangal, Warangal, Telangana, India

    D. Srinivasacharya

  2. Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    K. Srinivas Reddy

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Karmakar, S., Mohanty, A. (2019). 2D Numerical Analysis of Natural Convection in Vertical Fins on Horizontal Base. In: Srinivasacharya, D., Reddy, K. (eds) Numerical Heat Transfer and Fluid Flow. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-1903-7_48

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  • DOI: https://doi.org/10.1007/978-981-13-1903-7_48

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1902-0

  • Online ISBN: 978-981-13-1903-7

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