Question

The Prandtl number is defined as the ratio of momentum diffusivity to thermal diffusivity $\left(\text{Pr}=\frac{c_{p}\mu}{k}\right)$. The vertical surface (5.2 m high, 1.3 m wide) of a block is cooled by a moving fluid with an average velocity of $V = 3.2$ m/s. The other surfaces of the block are thermally insulated. The fluid properties are $\rho = 1.15$ kg/m$^3$, $k = 0.027$ W/m$\cdot^\circ$C, $\mu = 2.17\times10^{-5}$ kg/m$\cdot$s, and $c_p = 1160$ J/kg$\cdot^\circ$C. The surface temperature of the block is maintained at 156$^\circ$C while the temperature of the fluid is constantly 25$^\circ$C. Estimate the rates of heat loss from the plate when the fluid is moving horizontally and vertically, respectively.

Name: the prandtl number is defined as the ratio of momentum diffusivity to thermal diffusivity lefttextprfraccpmukright the vertical surface 52 m high 13 m wide of a block is cooled by a moving 05298
Uploaded: 2025-05-10T22:59:59-08:00
Duration: 1 min 35 s
Channel: Andreas Papavassiliou
Description: the prandtl number is defined as the ratio of momentum diffusivity to thermal diffusivity lefttextprfraccpmukright the vertical surface 52 m high 13 m wide of a block is cooled by a moving 05298

          The Prandtl number is defined as the ratio of momentum diffusivity to thermal diffusivity
$\left(\text{Pr}=\frac{c_{p}\mu}{k}\right)$. The vertical surface (5.2 m high, 1.3 m wide) of a block is cooled by a moving
fluid with an average velocity of $V = 3.2$ m/s. The other surfaces of the block are thermally
insulated. The fluid properties are $\rho = 1.15$ kg/m$^3$, $k = 0.027$ W/m$\cdot^\circ$C, $\mu = 2.17\times10^{-5}$ kg/m$\cdot$s,
and $c_p = 1160$ J/kg$\cdot^\circ$C. The surface temperature of the block is maintained at 156$^\circ$C while the
temperature of the fluid is constantly 25$^\circ$C. Estimate the rates of heat loss from the plate when
the fluid is moving horizontally and vertically, respectively.

$the prandtl number is defined as the ratio of momentum diffusivity to thermal diffusivity lefttextprfraccpmukright the vertical surface 52 m high 13 m wide of a block is cooled by a moving 05298$

Added by F-Tima Z.

Question

Please give Ace some feedback