Derive an expression for the capillary- height change h, as shown, for a fluid of surface tension Y and contact angle 0 be- tween two parallel plates W apart. Evaluate for water at 20°C if W = 0.5 mm. EX 4: Derive an expression for the capillary-height change h, as shown, for a fluid ofsurface tension Y and contact angle 0 be-tween two parallel plates W apart. Evaluateh for water at 20°C if W = 0.5 mm.Widthb intoрарerFig. P1.70

The weight of the water is W=ρVg=ρwbhg The capillarity force is F=γbcosθ The weight of the water…

EX 4: Derive an expression for the capillary- height change h, as shown, for a fluid of surface tension Y and contact angle 0 be- tween two parallel plates W apart. Evaluate h for water at 20°C if W = 0.5 mm. Width b into раper

EX 4: Derive an expression for the capillary- height change h, as shown, for a fluid of surface tension Y and contact angle 0 be- tween two parallel plates W apart. Evaluate h for water at 20°C if W = 0.5 mm. Width b into раper

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Chapter5: Analysis Of Convection Heat Transfer

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Problem 5.5P: Evaluate the dimensionless groups hcD/k,UD/, and cp/k for water, n-butyl alcohol, mercury, hydrogen,...

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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

Derive an expression for the capillary- height change h, as shown, for a fluid of surface tension Y and contact angle 0 be- tween two parallel plates W apart. Evaluate for water at 20°C if W = 0.5 mm.

EX 4: Derive an expression for the capillary-
height change h, as shown, for a fluid of
surface tension Y and contact angle 0 be-
tween two parallel plates W apart. Evaluate
h for water at 20°C if W = 0.5 mm.
Width
b into
рарer
Fig. P1.70

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