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2. (10 point) Law of Wall/Backward Facing Step In the backward facing flow(Driver's case) with \( \operatorname{Re}=10,000 \) with a channel step height of \( H=2.54 \mathrm{~cm} \). The fluid has a viscosity of \( v=1.0 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s} \). The skin friction coefficient at a location, \( x=a \), beyond the reattachment point is Calculate the following: \[ C_{f}=3.6 \times 10^{-3} \] (1) (5 pts) The \( \mathrm{y}+ \) value at physical locations of \( \mathrm{A}(\mathrm{x}, \mathrm{y})=\mathrm{A}(a, 0.5 \mathrm{H}) \) and \( \mathrm{B}(\mathrm{x}, \mathrm{y})=\mathrm{B}(a, \mathrm{H}) \). What turbulence regions of these two points are located in? (2) \( (4 \mathrm{pts}) \) The velocities at these points according to Law of Wall, \( u^{+}(A)= \) ? and \( u^{+}(B)= \) ? (3) ( \( 1 \mathrm{pt} \) ) Can you apply Law of Wall to positions \( x< \) reattachment point?

          2. (10 point) Law of Wall/Backward Facing Step
In the backward facing flow(Driver's case) with \( \operatorname{Re}=10,000 \) with a channel step height of \( H=2.54 \mathrm{~cm} \). The fluid has a viscosity of \( v=1.0 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s} \). The skin friction coefficient at a location, \( x=a \), beyond the reattachment point is
Calculate the following:
\[
C_{f}=3.6 \times 10^{-3}
\]
(1) (5 pts) The \( \mathrm{y}+ \) value at physical locations of \( \mathrm{A}(\mathrm{x}, \mathrm{y})=\mathrm{A}(a, 0.5 \mathrm{H}) \) and \( \mathrm{B}(\mathrm{x}, \mathrm{y})=\mathrm{B}(a, \mathrm{H}) \). What turbulence regions of these two points are located in?
(2) \( (4 \mathrm{pts}) \) The velocities at these points according to Law of Wall, \( u^{+}(A)= \) ? and \( u^{+}(B)= \) ?
(3) ( \( 1 \mathrm{pt} \) ) Can you apply Law of Wall to positions \( x< \) reattachment point?

2. (10 point) Law of Wall/Backward Facing Step
In the backward facing flow(Driver's case) with Re=10,000 with a channel step height of H=2.54 cm. The fluid has a viscosity of v=1.0 × 10^-6 m^2 / s. The skin friction coefficient at a location, x=a, beyond the reattachment point is
Calculate the following:

Cf=3.6 × 10^-3

(1) (5 pts) The y+ value at physical locations of A(x, y)=A(a, 0.5 H) and B(x, y)=B(a, H). What turbulence regions of these two points are located in?
(2) (4 pts) The velocities at these points according to Law of Wall, u^+(A)= ? and u^+(B)= ?
(3) ( 1 pt ) Can you apply Law of Wall to positions x< reattachment point?

Added by Subba R.

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