Mekanika Fluida Minggu 03 Priyambodo ST MT Mochamad

Mekanika Fluida Minggu 03 Priyambodo, ST, MT Mochamad Yusuf Santoso, ST, MSc

Fluid Statics – Statika Fluida Hydrostatics � no relative motion � tidak ada gerak relatif between fluid particles, no shear stresses present (a shear results from a velocity gradient). � Does not mean that the fluid particles are not moving, but they are not moving relative to one another; if they are moving, as in a can of water rotating about its axis, they move as a solid body. antara partikel fluida, tidak ada tegangan geser yang terjadi (akibat geseran dari gradien kecepatan). � Tidak berarti bahwa partikel fluida tidak bergerak, tetapi mereka tidak bergerak relatif terhadap satu sama lain, jika mereka bergerak, seperti dalam sekaleng air berputar

Fluid Statics – Statika Fluida Hydrostatics � The only stress involved in � tegangan yang terlibat dalam fluid statics is the normal stress, the pressure. It is the pressure acting over an area that gives rise to the forces in problems involving fluid statics. � Three types of problems (1) fluids at rest, as in the design of a dam; (2) fluids undergoing linear acceleration, as in a rocket; and (3) fluids that are rotating about an axis. statika fluida adalah tegangan normal, tekanan. Ini adalah tekanan yang bekerja di area yang menimbulkan kekuatan dalam masalah yang melibatkan statika fluida. � Tiga jenis hal yang dibahas (1) fluida saat diam, seperti dalam desain bendungan; (2) fluida mengalami percepatan linear, seperti dalam roket, dan (3) fluida yang berputar terhadap suatu sumbu.

Fluid Statics – Statika Fluida Hydrostatics is fundamental to hydraulics, the engineering of equipment for storing, transporting and using fluids. geophysics and astrophysics (understanding plate tectonics and the anomalies of the Earth's gravitational field), meteorology, medicine (in the context of blood pressure), Hydrostatics offers physical explanations why atmospheric pressure changes with altitude, why wood and oil float on water, why the surface of water is � Hidrostatik adalah dasar hidrolika, untuk menyimpan, mengangkut dan menggunakan fluida geofisika dan astrofisika (memahami lempeng tektonik dan anomali medan gravitasi bumi), meteorologi, kesehatan (dalam konteks tekanan darah), Hydrostatics menjelaskan perubahan tekanan atmosfer dengan ketinggian, mengapa kayu dan minyak mengapung di atas air, mengapa permukaan air selalu datar dan horisontal

Fluid Statics – Statika Fluida � Pressure Variation ΔP = - Δh = -ρgΔh 1. Convert 230 k. Pa to millimeters of mercury, inches of mercury, and feet of water P = ρgh 230000 N/m 2 = 13. 6 x 1000 kg/m 3 x 9. 81 m/s x h h = 1. 724 m Hg h = 1726 mm Hg h = 67. 87 inch Hg 230000 N/m 2= 1000 kg/m 3 x 9. 81 m/s x h h = 23. 445 m Water h = 76. 923 ft Water 2. If the pressure at the bottom of the tank is 231. 3 k. Pa, what is the specific gravity of olive oil? S SAE 30 oil = 0. 89 S water = 1 S Hg = 13. 6 Patm+PSAE 30 Oil+Pwater+Polive oil +PHg = 231. 3 k. Pa 101. 03 k. Pa+ρgh SAE 30 Oil+ρgh water+ρgh olive oil + ρgh Hg = 231. 3 k. Pa 101. 03 k. Pa+(0. 89)(9. 81)(1. 5)+ (1)(9. 81)(2. 5)+(S) (9. 81) (2. 9) +(13. 6) (9. 81) (0. 4) = 231. 3 k. Pa ρ olive oil = 1. 38

Fluid Statics – Statika Fluida 3. Find FD FA. l. A = FB. l. B ; FB = 843. 3 N PC = PD = FC/AC = FD/AD FD = 15835. 3 N specific weight = ρg (Gamma) 4. Find h if gasoline = 6670 N/m 3, air = 11. 8 N/m 3 Full of Gasoline, Pgage = gasoline h = 6670 x 0. 32 = 2134. 4 Pa Contaminated by water, Pgage = water h water + gasoline h gasoline + air hair 2134. 4 Pa = 9810 x 0. 03 + 6670 x (0. 32 -0. 03 -h) + 11. 8 x h h = 0. 014 m

Fluid Statics – Statika Fluida 5. Find PA, PB, PC, PD PA = ρwater gh. A = 1000 x 9. 81 x (0. 4+0. 4) = - 7. 848 k. Pa (vacuum) PB = ρwater gh. B = 1000 x 9. 81 x (0. 5) = 4. 905 k. Pa PB = PC => abaikan udara PD = PC + ρoil gh. D = 4. 905 k. Pa + 0. 9 x 1000 x 9. 81 x (0. 4+0. 5+1) = 21. 68 k. Pa �Manometer �P 2 = Patm + ρgh

Fluid Statics – Statika Fluida 6. Find PA – PB PA + PSAE+ PHg = PB + PCCl 4 PA+ρSAE gh. SAE+ρHg gh. Hg= PB + ρCCl 4 gh. CCl 4 PA – P B = ρCCl 4 gh. CCl 4 - ρSAE gh. SAE-ρHg gh. Hg PA – P B =1. 59 x 1000 x 9. 81 x 0. 8 – 0. 89 x 1000 x 9. 81 x 1. 1 – 13. 6 x 1000 x 9. 81 x 0. 3

Fluid Statics – Statika Fluida 7. A manometer connects an oil pipeline and a water pipeline. Determine the difference in pressure between the two pipelines using the readings on the manometer. S oil =0. 86 ; S Hg =13. 6 p 2=p 3 pwater + water x 0. 04 = p 4 + Hg x 0. 08 p 4 = p 5 p 4 = p oil - oil x 0. 06 p water - p oil = - water x 0: 04 + Hg x 0: 08 oil x 0. 06 p water – p oil = -9800 x 0. 04 +(13. 6 x 8. Find P P = Patm + ρgh P = 96 k. Pa + 0. 85 x 1000 kg/m 3 x 9. 81 m/s 2 x 0. 55 m P = 96 k. Pa + 4586. 175 N/m 2 P = 96 k. Pa + 4. 586 k. Pa P = 100. 586 k. Pa