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I wonder how can the friction between a fluid and a wall in a cylindrical pipe can be calculated. Is there any theory that I can refer to? I also want to check if there's any relation between the diameter of the pipe, the velocity and the temperature of the fluid and friction.

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We know that adhesive forces bound fluid particles at the surface of the pipe. The rest of the fluid will not be affected by this force. But force acting on the remaining fluid is viscous force. The below figure shows relationship between velocity profile and radius of pipe. Where n is coefficient of viscosity.enter image description here

If the fluid is gas, then there will not be any viscous or frictional forces on the gas which is not bounded to surface of pipe.

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