VM-WB-MECH-092

VM-WB-MECH-092
Convection Treatment Problem for a Hollow Cylinder with Fluid Flow

Overview

Reference:

Arpaci, V. S., Selamet, A., & Kao, S. H. (2000). Introduction to heat transfer (pp. 90-100).

Solver(s):

Ansys Mechanical

Analysis Type(s):

Static Structural

Element Type(s):
Coupled Thermal Pipe
Thermal Surface
Thermal Solid

Test Case

A hollow cylinder is modeled with an inner radius of 0.01105 m, an outer radius of 0.02 m, and a length of 0.1 m. Fluid is made to flow through the cylinder to simulate the convection problem. Surface effect elements with film coefficients are used in between the fluid and cylinder to include the convection loads. The inlet temperature of the fluid, mass flow rate of the fluid, and the bulk temperature at the outer cylinder surface are defined. A static analysis is performed on the model to determine the nodal temperature of the fluid elements.

This problem is also presented in

VM271

in the Mechanical APDL Verification Manual.

Figure 124: Schematic

Schematic

Material PropertiesGeometric PropertiesLoading
Fluid:
Specific heat = 0.5474 J/(kg⋅C)
Thermal conductivity = 1.0 x 10-16 W/(m⋅C)
Cylinder:
Thermal conductivity = 1000 W/(m⋅C)
Inner radius, r1 = 0.01105 m
Outer radius, r2 = 0.02 m
Length, l = 0.1 m
Inlet temperature of fluid, Tinlet = 700 °C
Temperature at the outer cylinder surface, Tbulk = 2000 °C
Film coefficients for surface element = 300 W/m2⋅C
Mass flow rate for fluid = 7.2 kg/s

Analysis Assumptions and Modeling Notes

The line body model type is set to thermal fluid and the discretization type is set to upwind/exponential in a 3-D steady state thermal analysis.

The existing convection is scoped to the inner face of the cylinder and is modified to consider fluid flow with fluid flow edge(s) of line bodies.

The mass flow rate is applied using line body edge.

The problem is solved using MKS as the unit system. Results are evaluated at different locations on a line body using nodal named selections.

Results Comparison

ResultTargetMechanicalError (%)
Temperature (°C) @ Y = 0.07007000
Temperature (°C) @ Y = 3.33 x 10-2913.537916.910.369
Temperature (°C) @ Y = 6.66 x 10-21091.9991096.90.449
Temperature (°C) @ Y = 1.01241.1471239.4-0.141