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Assignment No. 2
Couette Flow
23.03.2021
Shivam Choubey
Student No: CFDB30321004

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Objective
• Solve simple Couette flow using Fluent as a 2D problem.
Couette flow is the flow of a viscous fluid between two surfaces, one of which is
moving tangentially relative and another is fixed. The relative motion of the surfaces
imposes a shear stress that make flow possible.
Image source: https://en.wikipedia.org/wiki/Couette_flow#/media/File:Laminar_shear.svg
Assumptions:Laminar, incompressible, steady flow betw
een two infinitely long parallel plates, top plate moving
steadily, bottom plate stationary
u= 𝑢0 (1/2 +
𝑦
2ℎ
)
Here 𝑢0 𝑖𝑠 𝑢𝑝𝑝𝑒𝑟 𝑝𝑙𝑎𝑡𝑒 𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦

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Problem Statement
• Upper plate is moving at 0.2m/s
• Bottom plate fixed
• Distance between plate is 5 cm.
• Length of plate is 100 cm.

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CFD Setting
Mesh
Nodes 24586
Elements 23078
Aspect Ratio 2.124
Orthogonal Quality 0.7123
Fluent Setting
Check Mesh:
x-coordinate: min (m) = 0.000000e+00, max (m) = 5.000000e-01
y-coordinate: min (m) = 0.000000e+00, max (m) = 5.000000e-02
Volume statistics:
minimum volume (m3): 9.987658e-07
maximum volume (m3): 1.078039e-06
total volume (m3): 2.500000e-02
Face area statistics:
minimum face area (m2): 9.987542e-04
maximum face area (m2): 1.078039e-03
Mesh Quality
Minimum Orthogonal Quality = 7.84847e-01
Maximum Aspect Ratio = 2.61449e+00

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CFD Setting
Type of solver: Pressure based solver
Type of flow: K-omega model used
Fluid :air and Water
Solver : Coupled

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Results
• First simulation working fluid consider as air.

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