Question

Required information Air is flowing in parallel over the upper surface of a flat plate with a length of 4 m. The first half of the plate length, from the leading edge, has a constant surface temperature of 50 ∘

C. The second half of the plate length is subjected to a uniform heat flux of 86 W/m 2
. The air has a free stream velocity and temperature of 1.9 m/s and 10 ∘
C, respectively. The properties of air at T f
​
=30 ∘
C are k=0.02588 W/m+K +
​
v=1.608×10 −5
m 2
/s, and Pr=0.7282. Determine the local convection heat transfer coefficients at 1 m and 3 m from the leading edge. (You must provide an answer before moving on to the next part) The local convection heat transfer coefficient at 1 m from the leading edge is W/m 2
⋅K The local convection heat transfer coefficient at 3 m from the leading edge is W/m 2
⋅K

Answer 1

The question involves calculating local convection heat transfer coefficients on a flat plate with air flow at specified positions. These coefficients are determined using fluid flow and heat transfer principles, considering variables like thermal conductivity, viscosity, and temperature gradients.

Step-by-step explanation:

The student's question involves determining the local convection heat transfer coefficients at different positions along a flat plate with air flowing in parallel over its surface. The conditions presented in the question suggest a need to apply knowledge of fluid flow and heat transfer principles. These coefficients depend on parameters such as the properties of the air (thermal conductivity, kinematic viscosity, and Prandtl number), the geometry of the system (length of the plate), and the boundary conditions (surface temperature and heat flux).

To determine the local convection heat transfer coefficient at a specific position, one would typically use the Nusselt number relationship corresponding to the flow conditions, which relates the Nusselt number, Reynolds number, and Prandtl number. Formulas from heat transfer literature can then be used to find these coefficients. The complexities of the calculations suggest that further context and intermediate steps are likely needed to provide a full solution.