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BASIC EQUATIONS IN INTEGRAL FORM FOR CONTROL VOLUME

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Presentation on theme: "BASIC EQUATIONS IN INTEGRAL FORM FOR CONTROL VOLUME"— Presentation transcript:

1 BASIC EQUATIONS IN INTEGRAL FORM FOR CONTROL VOLUME

2 Nozzle Sudu Turbin Water jet

3 Volume Atur Sudu Turbin

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6 TRANSPORTASI REYNOLDS
LIMA PERSAMAAN DASAR YANG DIGUNAKAN UNTUK MENGANALISA PROBLEM MEKANIKA FLUIDA PERSAMAAN KEKEKALAN MASSA PERSAMAAN MOMENTUM LINIER (HUKUM KEDUA NEWTON) PERSAMAAN MOMENTUM ANGULAR PERSAMAAN KEKEKALAN ENERGI (HUKUM I THERMODINAMIKA) PERSAMAAN ENTHROPY ( HUKUM II THERMODINAMIKA) EXTENSIVE PROPERTIES INTENSIVE PROPERTIES PERSAMAAN UMUM TRANSPORTASI REYNOLDS

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10 Relation of System Derivatives to the Control Volume Formulation
Extensive Properties Intensive Properties

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12 CONSERVATION OF MASS

13 Conservation of Mass Incompressible Fluids Steady, Compressible Flow

14 1 2 3 4

15 MOMENTUM EQUATION FOR CONTROL VOLUME :
MOMENTUM EQUATION FOR INERTIAL CONTROL VOLUME MOMENTUM EQUATION FOR CONTROL VOLUME MOVING WITH CONSTANT VELOCITY

16 General Equation Reynolds Transportation
MOMENTUM LINEAR General Equation Reynolds Transportation dan SURFACE FORCE BODY FORCE

17 MOMENTUM LINEAR X - DIRECTION Y - DIRECTION Z - DIRECTION

18 CONTOH KASUS : Your boss claims that the scale will read the weight of the volume of water in the tank plus the tank weight, i.e., that we can treat this as a simple statics problem. You disagree, claiming that a fluid flow analysis is required. Who is right, and what does the scale indicate?

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21 x – component :

22 Momentum equation – x-component :
Conservation of mass : Momentum equation – x-component :

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26 Control Volume y x

27 A jet of water issuing from stationary nozzle at 15 m/s (Aj = 0
A jet of water issuing from stationary nozzle at 15 m/s (Aj = 0.05 m2) strikes a turning vane mounted on a cart as shown. The Vane turns the jet through angle q = 500. Determine the value of M required to hold the cart stationary

28 MOMENTUM LINEAR - Control Volume Moving with Constant Velocity
x - DIRECTION y - DIRECTION z - DIRECTION

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33 Volume Atur Sudu Turbin
Top-View Volume Atur Sudu Turbin

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35 HUKUM I THERMODINAMIKA
Potential Energy Internal Energy Kinetic Energy

36 HUKUM I THERMODINAMIKA

37 ROTATING EQUIPMENT Gas Turbine Air Compressor Gas Compresor
Diesel Engine Pompa Air Pompa Air Diesel Engine

38 Gas Compresor Gas Turbine Air Compressor

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40 Example 4.16 COMPRESSOR: FIRST LAW ANALYSIS
Air at 14.7 psia, 70F, enters a compressor with negligible velocity and is discharged at 50 psia, 100F through a pipe with 1 ft2 area. The flow rate is 20 lbm/s. The power input to the compressor is 600 hp. Determine the rate of heat transfer.

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