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Thermal Analysis of Flow Across Two Tandem Triangular Bluff Bodies in Unsteady Regime

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Recent Trends in Fluid Dynamics Research

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

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Abstract

Thermal behavior of flow across sharp edge bluff bodies (such as rectangular, triangular bluff bodies, etc.) is repeatedly used for the designing of novel heat exchange systems, support structures, impellers, etc. However, the triangular bluff bodies are primarily studied for their use in the designing, construction, and working of a vortex flow meter. Thus, the present paper focuses on the two-dimensional transfer of heat by forced convection by the flow of Newtonian fluid around two isothermal tandem isosceles triangular bluff bodies placed in a horizontal channel with adiabatic walls. The effect of gap space (i.e., gap between two triangular bluff bodies) ranging from 1 to 4 for Prandtl number of 0.71 (air) and Reynolds number of 100 is investigated, by keeping the blockage ratio fixed as 25%. Simulation of the present problem is carried out by solving governing equations, i.e., equation for conservation of mass, conservation of momentum, and conservation of energy, along with suitable boundary conditions with the SIMPLE method by using a finite volume-based solver. Contours of streamline and isotherms help in understanding the flow and temperature fields across the two triangular cylinders, respectively. The average Nusselt number, mean drag coefficient, etc., are calculated. It is found that the values of the average Nusselt number and the mean drag coefficient, both, decline with the declining gap space between the two tandem bluff bodies. The changes in the average Nusselt number and mean drag coefficient values are more significant for the second triangular bluff body than the first one.

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Abbreviations

B :

Triangle width, m

C D :

Drag coefficient, (= 2FD / ρumax2 B)

C D1 :

Drag coefficient of the first triangular cylinder (from inlet)

C D2 :

Drag coefficient of the second triangular cylinder (from inlet)

c P :

Specific heat of the fluid, J kg−1 K−1

F D :

Drag force per unit length of cylinder, N m−1

h :

average heat transfer coefficient, W m−2 K−1

H :

Channel width, m

k :

Thermal conductivity of the fluid, W m−1 K−1

L :

Length of the computational domain, m

N u :

Nusselt number, (= hB / k)d

N u1 :

Nusselt number for the first cylinder (from inlet)d

N u2 :

Nusselt number for the second cylinder (from inlet)d

P r :

Prandtl number, (= µcp / k)d

p*:

Pressure, N m–2d

p :

Dimensionless pressure, (= p* / ρumax2)d

Re :

Reynolds number, (= ρumaxB / µ)d

S :

Gap space between the two triangles, md

S/B :

Nondimensional gap spaced

t :

Time sd

T :

Temperature, K

T w :

Temperature at the surface of the cylinder, K

T ∞ :

Fluid temperature at the inlet, K

u :

Nondimensional x-directional component of velocity, (= u*/umax)

u max :

Maximum velocity at the inlet of the channel, ms−1

v :

Nondimensional y-directional component of velocity, (= v*/umax)

u*, v* :

x and y directional components of velocity, respectively, m s–1

x*, y* :

Cartesian coordinates, m

x,y :

Nondimensional coordinates

X u :

Upstream distance of the cylinder, md

X d :

Upstream distance of the cylinder, md

θ :

Nondimensional temperature, (= (T - T∞) / (Tw - T∞))

β :

Blockage ratio (= B/H)

τ :

Nondimensional time, (= t / (B/umax))

ρ :

Density, kg m−3

µ :

Viscosity, m2 s–1

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Authors and Affiliations

  1. Department of Chemical Engineering, Banasthali University, Banasthali, 304022, India

    Richa Agarwal & Ravikant R. Gupta

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  1. Richa Agarwal
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Editors and Affiliations

  1. Department of Chemical Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Ram P. Bharti

  2. Department of Chemical Engineering, National Institute of Technology Rourkela, Rourkela, Odisha, India

    Krunal M. Gangawane

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Agarwal, R., Gupta, R.R. (2022). Thermal Analysis of Flow Across Two Tandem Triangular Bluff Bodies in Unsteady Regime. In: Bharti, R.P., Gangawane, K.M. (eds) Recent Trends in Fluid Dynamics Research. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-6928-6_7

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  • DOI: https://doi.org/10.1007/978-981-16-6928-6_7

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