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Passive heat transfer enhancement of laminar mixed convection flow in a vertical dimpled tube

垂直凹坑管内层流混合对流的被动传热强化

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Abstract

Heat transfer enhancement in vertical tubes plays an important role on the thermal performance of many heat exchangers and thermal devices. In this work, laminar mixed convection of airflow in a vertical dimpled tube was numerically investigated. Three-dimensional elliptical governing equations were solved using the finite-volume technique. For a given dimpled pitch, the effects of three different dimple heights (h/D=0.013, 0.027, 0.037) have been studied at different Richardson numbers (0.1, 1.0 and 1.5). The generated vortex in the vicinity of the dimple destructs the thermal boundary layer and enhances the heat transfer. Therefore, lower wall temperature is seen where the dimples are located. Fluid flow velocity at the near-wall region significantly increases because of buoyancy forces with the increase of Richardson numbers. Such an acceleration at the near-wall region makes the dimples more effective at higher Richardson number. Using a dimpled tube enhances the heat transfer coefficient. However, the pressure drop is not important. For instance, in the case of Ri=1.5 and h/D=0.037, 20% gains in the heat transfer enhancement only costs 2.5% in the pressure loss. In general, it is recommended using a dimpled tube where the effects of buoyancy forces are important.

摘要

垂直管的传热强化对许多换热器和热设备的热性能起着重要的作用。本文对垂直凹坑管中气流 的层流混合对流进行了数值研究。采用有限体积法求解三维椭圆控制方程。对给定的凹坑间距, 在不 同理查森数(0.1,1 和1.5)下, 研究了三种不同凹坑高度(h/d= 0.013,0.027, 0.037)对凹坑间距的影响。 在凹坑附近产生的涡流破坏了热边界层, 0.037)对凹坑间距的影响。 在凹坑附近产生的涡流破坏了热边界层, 凹坑处的壁温较低。由于浮力的作用, 近壁区域的流体流速显著增加。这种在近壁区域的加速使凹坑在理查森数较高时更有效。采用凹坑管 提高了传热系数, 但压降并不明显。在Ri=1.5, h/d=0.037 的情况下, 传热强化增加20%, 但压力只 损失2.5%。一般来说, 在浮力的影响较大的情况下, 推荐使用凹坑管。

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Abbreviations

C p :

Specific heat (J/(kg·K))

d :

Tube diameter (m)

g :

Acceleration of gravity (m/s2)

Gr :

Grashof number gβq″D4 (kv2)

H :

Heat transfer coefficient (W/(m2·K))

h :

Height of the dimples (m)

k :

Thermal conductivity

L :

Tube length (m)

Nu :

Nusselt number

P :

Pressure (Pa)

p :

Pitch of the roughs (m)

Pe :

Peclet number

Pr :

Prandtl number

q″ :

Uniform heat flux (W/m2)

r :

Radial coordinate

R :

Radius

Re :

Reynolds number

Ri :

Richardson number

T :

Temperature (K)

T * :

Dimensionless temperature (T−Tw)/(2q′k/D)

v, u :

Velocity (m/s)

r * :

r/d

z :

Axial coordinate

z* :

z/d

α :

Thermal diffusivity

β :

Volumetric expansion coefficient (K−1)

θ :

Tangential coordinate

μ :

Dynamic viscosity (N·m·s−2)

ν :

Kinematic viscosity of the fluid (m2/s)

ρ :

Fluid density (kg · m−3)

φ :

Loss function

b:

Bulk

c:

Center line

i, 0:

Inlet condition

r:

Rough

s:

Smooth

w:

Wall

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Authors and Affiliations

  1. Mechanical Engineering Department, Chabahar Maritime University, Chabahar, Iran

    M. Toofani Shahraki & A. Lavajoo

  2. Mechanical Engineering Department, University of Sistan and Baluchestan, Zahedan, Iran

    A. Behzadmehr

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  1. M. Toofani Shahraki
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Contributions

The simulation and numerical calculations were done by M. TOOFANI SHAHRAKI and A. LAVAJOO. The first draft of the manuscript was prepared by M. TOOFANI SHAHRAKI. A. BEHZADMEHR supervised the work and edited the draft of manuscript.

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Correspondence to A. Behzadmehr.

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Conflict of interest

M. TOOFANI SHARAKI, A. LAVAJOO and A. BEHZADMEHR declare that they have no conflict of interest.

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Toofani Shahraki, M., Lavajoo, A. & Behzadmehr, A. Passive heat transfer enhancement of laminar mixed convection flow in a vertical dimpled tube. J. Cent. South Univ. 28, 3477–3490 (2021). https://doi.org/10.1007/s11771-021-4869-5

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  • DOI: https://doi.org/10.1007/s11771-021-4869-5

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