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Derive an expression for the capillary height

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Q: Derive an expression for the capillary height change h, as shown, for a fluid of surface tension Y and contact angle between two parallel plates W apart. Evaluate h for water at 20°C if W = 0.5 mm. You must provide step by step solution to solve the given problem.

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Mechanical Engineering: Derive an expression for the capillary height

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