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Problem 5.1 In general, to determine the Nusselt number it is necessary to determine the velocity and temperature distribution Fluid velocity for Pr 1 is assumed to be uniform, u V . This represents a significant simplification. Problem 5.2 In general, to determine the Nusselt number it is necessary to determine the velocity and temperature distribution. Fluid velocity for Pr 1 is assumed to be linear, u V ( y / ) . Problem 5.3 The velocity is assumed to be uniform, u V , throughout the thermal boundary layer. A leading section of length xo is unheated. at x xo , surface heat flux is uniform. The determination of the Nusselt number requires the determination of the temperature distribution. Surface temperature is unknown. The maximum surface temperature for a uniformly heated plate occurs at the trailing end. Problem 5.4 The velocity distribution is known. Surface temperature is uniform. The determination of the Nusselt number requires the determination of the temperature distribution. Newton’s law of cooling gives the heat transfer rate. This requires knowing the local heat transfer coefficient. Problem 5.5 The velocity distribution is known Total heat transfer is equal to heat flux times surface area. Heat flux is given. However, the distance x = L at which t H / 2 is unknown. Problem 5.6 The determination of the Nusselt number requires the determination of the velocity and temperature distributions. Velocity is assumed uniform. Surface temperature is variable. Newton’s law of cooling gives surface heat flux. This requires knowing the local heat transfer coefficient. Problem 5.7 The determination of the Nusselt number requires the determination of the velocity and temperature distributions. Velocity is assumed linear. Surface temperature is variable. Newton’s law of cooling gives surface heat flux. This requires knowing the local heat transfer coefficient. Problem 5.8 The determination of the Nusselt number requires the determination of the velocity and temperature distributions. Velocity is assumed uniform. Surface temperature is variable. Newton’s law of cooling gives surface heat flux. This requires knowing the local heat transfer coefficient. Problem 5.9 In general, to determine the Nusselt number it is necessary to determine the velocity and temperature distribution. Surface heat flux is variable. It decreases with distance x. Surface temperature is unknown. Newton’s law of cooling gives surface temperature. This requires knowing the local heat transfer coefficient. (v) t / 1. Problem 5.10 In general, to determine the Nusselt number it is necessary to determine the velocity and temperature distribution. Fluid velocity for Pr 1 is assumed to be uniform, u V . This represents a significant simplification. Surface heat flux is variable. It increases with distance x. Surface temperature is unknown. Since flux increases with x and heat transfer coefficient decreases with x, surface temperature is expected to increase with x. Thus maximum surface temperature is at the trailing end x = L. Newton’s law of cooling gives surface temperature. This requires knowing the local heat transfer coefficient. Problem 5.11 In general, to determine the Nusselt number it is necessary to determine the velocity and temperature distribution. Fluid velocity for Pr 1 is assumed to be uniform, u V . This represents a significant simplification. Surface heat flux is variable. It increases with distance x. Surface temperature is unknown. Since flux increases with x and heat transfer coefficient decreases with x, surface temperature is expected to increase with x. Thus maximum surface temperature is at the trailing end x = L. Newton’s law of cooling gives surface temperature. This requires knowing the local heat transfer coefficient. Problem 5.12 This problem is described by cylindrical coordinates. Velocity variation with y is negligible. Conservation of mass requires that radial velocity decrease with radial distance r. Surface temperature is uniform. Problem 5.13 This problem is described by cylindrical coordinates. Velocity variation with y is negligible. Conservation of mass requires that radial velocity decrease with radial distance r. Surface heat flux is uniform Surface temperature is unknown. Problem 5.14 In general, to determine the Nusselt number it is necessary to determine the velocity and temperature distribution. Fluid velocity for Pr 1 is assumed to be uniform, u V . This represents a significant simplification. The plate is porous. Fluid is injected through the plate with uniform velocity. The plate is maintained at uniform surface temperature. A leading section of the plate is insulated. Problem 5.15 In general, to determine the Nusselt number it is necessary to determine the velocity and temperature distribution. Fluid velocity for Pr 1 is assumed to be uniform, u V . This represents a significant simplification. The plate is porous. Fluid is injected through the plate with uniform velocity. The plate is heated with uniform surface flux Surface temperature is unknown, (vii) A leading section of the plate is insulated. Problem 5.16 There are two thermal boundary layers in this problem. The upper and lower plates have different boundary conditions. Thus, temperature distribution is not symmetrical. The lower plate is at uniform temperature while heat is removed at uniform flux along the upper plate. Fluid velocity is assumed uniform throughout the channel.