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LectureExample_8-1

# LectureExample_8-1 - Problem 8.14[3 Given Hydrostatic...

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Problem 8.14 [3] Given: Hydrostatic bearing Find: Required pad width; Pressure gradient; Gap height Solution: For a laminar flow (we will verify this assumption later), the pressure gradient is constant p x ( ) p i 1 2 x W = where p i = 700 kPa is the inlet pressure (gage) Hence the total force in the y direction due to pressure is F b x p d = where b is the pad width into the paper F b W 2 W 2 x p i 1 2 x W d = F p i b W 2 = This must be equal to the applied load F. Hence W 2 p i F b = W 2 m 2 700 10 3 × N × 50000 N m × = W 0.143m = The pressure gradient is then dp dx Δ p W 2 = 2 Δ p W = 2 700 10 3 × N m 2 × 1 0.143 m × = 9.79 MPa m = The flow rate is given Q l h 3 12 μ dp dx = (Eq. 8.6c) Hence, for h we have h 12 μ Q l dp dx
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