| Section 1.1 |
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| | Relation between mass (m), density (rho), and volume (V). Relation between amount of substance (n), molar mass (Mo), and mass.
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| | Definition of temporal change of volume (delta_V): Later minus earlier value of volume.
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| | Rate of change of volume: Determined as the time derivative of V(t): dV(t)/dt
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| | Determination of transported volume: Integral of volume current from t1 to t2. |
| | Determination of temporal change of volume: Integral of rate of change of volume from t1 to t2. |
| | Definition of spatial pressure difference (delta_p): Later minus earlier value of pressure (taken in a chosen direction).
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Section 1.2 |
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| | Law of balance of volume in instantaneous (dynamical) form (for two elements, first one having one flow, second one having three flows). |
| | Law of balance of volume in integrated form (for two elements, first one having one process, second one having three processes). |
| | Interaction rule (action-reaction principle): Flow from one element to another element.
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Section 1.3 |
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| | Loop rule: Sum of all pressure differences in a closed hydraulic loop equals zero.
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| | More than one process sharing a pressure difference delta_p_AB…
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Section 1.4 |
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| | Relation between shear stress (momentum current density j_p) and perpendicular speed gradient (dv/dy) in laminar flow of a viscous fluid. eta: viscosity.
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| | Definition of compressibility of a fluid. |
| | Pressure-volume relation of a simple gas (ideal gas) at constant temperature. |
| | Pressure-volume-amount of substance relation of a simple gas (ideal gas) at constant temperature. |
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Section 1.5 |
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| | General pressure-volume relation (capacitive relation) of a fluid in a storage element. Dp_C: capacitive pressure difference, alpha_V: elastance.
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| | General pressure-volume relation (capacitive relation) of a fluid in a storage element. Dp_C: capacitive pressure difference, C_V: capacitance.
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| | Hydraulic capacitance of a straight-walled tank. |
| | Relation between volume current (I_V), (average) flow speed (v), and cross section (A) for flow through a pipe.
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| | Resistive flow relation for laminar flow. Dp_R: resistive pressure difference, G_V: conductance, R_V: resistance. |
| | Poiseuille relation (Hagen-Poiseuille) for resistance of a fluid in laminar flow through a curcular pipe. eta: viscosity. l: length of pipe, r: radius of pipe.
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| | Resistive flow relation for turbulent flow. Dp_R: resistive pressure difference, k: flow factor. |
| | Bernoulli pressure difference (Dp_B) due to speed change along flow line. |
| | Vertical pressure difference due to gravity in a fluid at rest in a gravitational field (g). rho: density, h: height.
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| | Vertical pressure gradient in a fluid at rest in a gravitational field (g). rho: density, h: height. |
| | Pressure as a function of height in the atmosphere for constant temperature.
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| | Relation between hydraulic and gravitational representation of a process (fluid moving vertically). d·Dh: gravitational potential.
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Section 1.6 |
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| | Pressure as a function of time of a liquid draining from a straight-walled tank through a horizontal pipe at the bottom. Dpo: initial pressure difference, R_V: resistance, C_V: capacitance.
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| | Pressure of a liquid during filling of a straight-walled tank through a horizontal pipe at the bottom, using a pump setting up a constant pressure difference. Dpo: initial pressure difference, R_V: resistance, C_V: capacitance.
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| | Time constant of simple RC system behavior. R_V: resistance, C_V: capacitance.
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