Entropy Generation In Heated Pipe CFD Simulation, Numerical Paper Validation

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Categories CFD in Chemical Engineering, Heat Transfer CFD Simulation Tag Paper CFD Validation

Description

The second law of thermodynamics tells us that real processes can’t be undone. Entropy generation measures how much irreversible change occurs in real processes. When entropy generation occurs, the quality of energy (exergy) decreases. In our CFD analysis, validation of a numerical paper entitled “ ENTROPY GENERATION IN LAMINAR FLUID FLOW THROUGH A CIRCULAR PIPE “ is targeted. Regarding the validation process, the simulation completely follows the reference paper. The purpose is to study the volumetric entropy generation rate distribution throughout the fluid in the pipe.

Simulation Process

Let’s consider a circular pipe with a diameter of D and a length of L through which a viscous fluid is being transported, as shown in Figure 1. We will neglect the thickness of the pipe and assume the thermal boundary condition on the surface of the pipe is a uniform heat flux q. The symmetric design of the pipe allows us to consider just a 2D section along with the axisymmetric method. The structured grid is quickly produced, which speeds the process up.

Figure 1: Schematic of heated pipe

Post-processing

Based on the given equations in the reference paper, the entropy generation rate can be calculated:

$S^I^I^I_g_e_n =\frac{k}{T^2}[(\frac{סT}{סr})^2 + (\frac{סT}{סz})^2] +\frac{u}{T}ø$

Where the dissipation function is given by

$ø סᵹ∂ꝺꝹꝽ= 2[(\frac{סv_r}{סr})^2 + (\frac{v_r}{r})^2 + (\frac{סv_z}{סz})^2] +(\frac{סv_r}{סz} +\frac{סv_z}{סr})^2$

The definition of each term is not our concern in this study. What true matters is the entropy generation rate integrated over the cross-sectional area of pipe at several axial locations in the paper (Table 3). As summarized in the table below, CFD results are in thorough agreement with the paper data.

Axial Location	Entropy Generation Rate (Paper)	Entropy Generation Rate (CFD simulation)	Error (%)
0	0.013 0.183 0.269 0.291 0.305	0.014 0.182 0.267 0.289 0.303	7.7%
0.1			0.5%
0.5			0.75%
0.75			0.68%
1			0.66%

What makes your products different from others on the market?

We pride ourselves on presenting unique products at CFDLAND. We stand out for our scientific rigor and validity. Our products are not based on guesswork or theoretical assumptions like many others. Instead, most of our products are validated using experimental or numerical data from valued scientific journals. Even if direct validation isn’t possible, we build our models and assumptions on the latest research, typically using reference articles to approximate reality.

Is technical support available after purchase?

Yes, we’ll be here . If you have trouble loading files, having technical problems, or have any questions about how to use our products, our technical support team is here to help.

Which version of ANSYS Fluent do I need to load files?

You can load geometry and mesh files, as well as case and data files, using any version of ANSYS Fluent.

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