Download - Mekanika fluida.ppt
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Air flows in a horizontal plate of sides 200 mm long x 100 mm wide. At a section a few meters from the entrance, the turbulent boundary layer is of thickness δ1 = 5.25 mm, and the velocity in the inviscid central core is U1 = 12.5 m/s. Farther downstream the boundary layer is of thickness δ2 = 24 mm. The velocity profile in the boundary layer is approximated well by the 1/7-power expression. Find the velocity, U2, in the inviscid central core at the second section, and the pressure drop between the two sections.
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Diketahui : A = 200 mm x 100 mm δ1 = 5.25 mm U1 = 12.5 m/sδ2 = 24 mm
Ditanya : - U2 in the inviscid central core - ∆P between the two sections
Jawab :Langkah 1 :Asumsi : P = 1 atmT = 20 ᵒC
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Dengan mengasumsikan tekanan dan suhu pada keadaan ini, maka kita dapat mengetahui nilai masssa jenis (ρ) dari udara. Dengan menggunakan appendix A pada ebook Frank White 5th Edition, nilai ρ adalah : 1,2 kg/m3
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Langkah 2 :Menentukan rumus-rumus yang digunakan Untuk mencari nilai U2 kita gunakan
persamaan konversi massa, yaitu :
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Untuk mencari nilai ∆P kita gunakan persamaan Bernoulli, yaitu :
Langkah 3 :Mencari nilai displacement thickness
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Langkah 4 :Mengaplikasikan neraca massa pada bagian 1 dan 2
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Langkah 5 :Mencari nilai A1 dan A2
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Langkah 5 :Memasukkan nilai A1 dan A2 yang telah didapat ke persamaan neraca massa
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Langkah 6 :Menghitung perbedaan tekanan bagian 1 dengan bagian 2 dengan menggunakan persamaan Bernoulli