# The Shear Stress Across the Pipe of Circular Cross-Section is

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Updated on: September 25th, 2023

The shear stress across the pipe of circular cross-section is-

1. Constant over the cross-section.
2. Zero at the wall and increases linearly to the center.
3. Zero at the center and varies linearly with the radius.
4. Varies parabolically across the section.

Answer: C. Zero at the center and varies linearly with the radius

## The shear stress across the pipe of circular cross-section is zero at the center and varies linearly with the radius.

Solution

Shear stress and velocity distribution across the pipe of circular cross-section can be expressed as:

Variation of shear stress in radial direction across the pipe of circular cross-section can be expressed as

Τ=-δp/δxr/2

-ve sign shows that pressure decreases in the longitudinal direction of the circular pipe.

Shear stress at center (ie. r=0) is zero

Shear stress at wall of pipe (ie. r=R) is maximum.

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