Explanation Given: The temperature of the vertical plate is T = 90 ∘ C . The first configuration of single vertical plate is L × w . The second configuration of two vertical plates is ( L 2 ) × w . The horizontal dimension is w . The vertical dimension is L . Formula used: The expression for convective heat transfer for the system is, q = h A s ( T s a t − T ) Here, A S is the surface area of the plate, h is the convection coefficient, T s a t is the saturated temperature of the steam. The expression for condensation rate is given by, m ˙ = q h ′ f g Here, h ′ f g is the specific enthalpy of the water. The expression for Reynolds number is given as, 1.47 R e − 1 3 = h ( v l 2 g ) 1 3 k Here, v l is the velocity of the steam, k is the coefficient of conduction for water, g is the acceleration due to gravity. The expression for convection coefficient is given as, h = [ R e μ h ′ f g 4 L ( T s a t − T ) ] 1 4 Here, μ is the dynamic viscosity of the water, T s a t is the saturated temperature of the water vapor. The expression for specific enthalpy of the water is given as, h ′ f g = h f g + 0.68 c p ( T s a t − T ) Here, c p is the specific heat of the water. Calculation: Refer to “Properties of saturated vapor”properties obtained are, The saturated temperature is T s a t = 100 ° C . The specific enthalpy is h f g = 2257 kJ / kg . The mean temperature of water can be calculated as, T m = 100 ° C + 90 ° C 2 T m = 95 ( ° C + 273 ) K T m = 368 K Refer to “Properties of saturated water” properties obtained at 368 K is, The density is ρ = 962 kJ / kg . The viscosity is μ = 296 × 10 − 6 N ⋅ s / m 2 . The coefficient of conduction is k = 0.678 W / m ⋅ K . The specific heat is c p = 4212 J / kg ⋅ K . The kinematic viscosity is v l = 3.08 × 10 − 7 m 2 / s . The expression for heat transfer for case- ( 1 ) can be calculated as, q 1 = h A s ( T s a t − T ) q 1 = h W / m 2 ⋅ K ( L m ) ( L m × w m ) ( T s a t K − T K ) …… (1) The expression for heat transfer for case- ( 2 ) can be calculated as, q 2 = h A s ( T s a t − T ) q 2 = h W / m 2 ⋅ K ( L 2 m ) [ 2 ( L 2 m × w m ) ] ( T s a t K − T K ) …… (2) The expression for condensation rate for case ( 1 ) can be calculated as, m ˙ 1 = q h ′ f g m ˙ 1 = h W / m 2 ⋅ K ( L m ) ( L m × w m ) ( T s a t − T ) K h ′ f g …… (3) The expression for condensation rate for case ( 2 ) can be calculated as, m ˙

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ISBN: 9780470501979

Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine

Publisher: Wiley, John & Sons, Incorporated

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Solution Summary: The author describes the two configurations of a vertical plate: the first configuration is Ltimes w and the second configuration of two vertical plates. The expression for convective heat transfer is given by q

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