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10.5 Unsteady State Bernoulli in Accelerated Coordinates
https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Fluid_Mechanics_(Bar-Meir)/10%3A_Inviscid_Flow_or_Potential_Flow/10.5_Unsteady_State_Bernoulli_in_Accelerated_Coordinates
$U_{0y}\,y - U_{0y}\,x$ $U_{0y}\,x+U_{0x}\,y$ $\dfrac{Q}{2\,\pi}\,\ln\,r$ $\dfrac{Q}{2\,\pi}\,\ln\,z$ $-\dfrac{Q}{2\,\pi}\,\ln\,r$ $-\dfrac{Q}{2\,\pi}\,\ln\,z$ \dfrac{\dfrac{r^2+{r_0}^2}{2... $U_{0y}\,y - U_{0y}\,x$ $U_{0y}\,x+U_{0x}\,y$ $\dfrac{Q}{2\,\pi}\,\ln\,r$ $\dfrac{Q}{2\,\pi}\,\ln\,z$ $-\dfrac{Q}{2\,\pi}\,\ln\,r$ $-\dfrac{Q}{2\,\pi}\,\ln\,z$ \dfrac{\dfrac{r^2+{r_0}^2}{2\,r\,r_0\, \cos \theta} + 1} {\dfrac{r^2+{r_0}^2}{2\,r\,r_0\, \cos \theta} - 1}\right)\) $\dfrac{Q_0}{2\,\pi} \left( \tan^{-1} \dfrac{y}{x-r_0} - \tan^{-1} \dfrac{y}{x+r_0} \right)$ $-\dfrac{\Gamma}{2\,\pi}\,\ln\,r$ $-\dfrac{i\,\Gamma}{2\,\pi}\,\ln\,z$
11.1: Introduction
https://eng.libretexts.org/Sandboxes/jhalpern/Energy_Alternatives/11%3A_Energy_Storage/11.01%3A_Introduction
In the opinion of this Author, there has been a revolutionary increase in awareness that a full “decarboniation” of energy production may never be achieved without the development of a grand-scale sto...In the opinion of this Author, there has been a revolutionary increase in awareness that a full “decarboniation” of energy production may never be achieved without the development of a grand-scale storage technology. According to the Energy Information Agency, their current (2018) contribution to the overall power generation in the US is 36%; the numbers in parentheses show the contribution of each of the listed sources:
7.1: Introduction
https://eng.libretexts.org/Sandboxes/jhalpern/Energy_Alternatives/07%3A_Direct_Solar_Power/7.01%3A_Introduction
It comes from the fact that the efficiency of “back-reflecting” and scattering light by atmospheric gases depends on the light color: for visible radiation, the effect is the strongest for for the sho...It comes from the fact that the efficiency of “back-reflecting” and scattering light by atmospheric gases depends on the light color: for visible radiation, the effect is the strongest for for the shortest wavelengths, i.e., for the color blue 2 . In the same photo, near the top one can also see what’s undoubtedly the contour of Africa.
4.5.2: How to calculate the mass defect?
https://eng.libretexts.org/Sandboxes/jhalpern/Energy_Alternatives/04%3A_Nuclear_Power/4.05%3A_Nuclear_Fission/4.5.02%3A_How_to_calculate_the_mass_defect
There is one "trick" that has to be done here: namely, the tables almost always list the values of atomic masses, whereas we need the mass of the nucleus - so we have to subtract the masses of all ele...There is one "trick" that has to be done here: namely, the tables almost always list the values of atomic masses, whereas we need the mass of the nucleus - so we have to subtract the masses of all electrons in the atom. The energy equivalent of an electron is $0.511$ $\mathrm{MeV} / \mathrm{c}^{2}$ and there are 92 of then in an Uranium atom, so after subtracting the total mass of the electrons, we get the value of $2.188950209^{*} 10^{5} \mathrm{MeV} / c^{2}$ for the mass of the nucleus.
11.7.6.2: Fanno Flow Supersonic Branch
https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Fluid_Mechanics_(Bar-Meir)/11%3A_Compressible_Flow_One_Dimensional/11.7%3A_Fanno_Flow/11.7.06%3A_Working_Conditions/11.7.6.2%3A_Fanno_Flow_Supersonic_Branch
The total maximum available for supersonic flow $\mathbf{b}-\mathbf{b'}$ , $\left(\dfrac{4\,f\,L}{D}\right)_{max}$ , is only a theoretical length in which the supersonic flow can occur if nozzle is ...The total maximum available for supersonic flow $\mathbf{b}-\mathbf{b'}$ , $\left(\dfrac{4\,f\,L}{D}\right)_{max}$ , is only a theoretical length in which the supersonic flow can occur if nozzle is provided with a larger Mach number (a change to the nozzle area ratio which also reduces the mass flow rate). In the last range $c−\infty$ the end is really the pressure limit or the break of the model and the isothermal model is more appropriate to describe the flow.
TitlePage
https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Fluid_Mechanics_(Bar-Meir)/00%3A_Front_Matter/01%3A_TitlePage
Fluid Mechanics Bar-Meir
11: Compressible Flow One Dimensional
https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Fluid_Mechanics_(Bar-Meir)/11%3A_Compressible_Flow_One_Dimensional
Contributors and Attributions Genick Bar-Meir. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or later or Pott...Contributors and Attributions Genick Bar-Meir. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or later or Potto license.
9.2.2: The Binary Cycle Method
https://eng.libretexts.org/Sandboxes/jhalpern/Energy_Alternatives/09%3A_Geothermal_Power/9.02%3A_Geothermal_Electricity_Generation/9.2.02%3A_The_Binary_Cycle_Method
If the temperature of the hot water retrieved from the geothermal reservoir is lower than 180 ◦ C, the temperature and the pressure of the flash steam would be so low that a turbine would not be able ...If the temperature of the hot water retrieved from the geothermal reservoir is lower than 180 ◦ C, the temperature and the pressure of the flash steam would be so low that a turbine would not be able to convert its energy to mechanical work with any reasonable efficiency. Ammonia flows in one direction in the inner tube, and water flows in the opposite direction in the space between the outer surface of the inner tube and the inner surface of the outer tube (source: aop).
11.4.3: The Properties in the Adiabatic Nozzle
https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Fluid_Mechanics_(Bar-Meir)/11%3A_Compressible_Flow_One_Dimensional/11.4_Isentropic_Flow/11.4.3%3A_The_Properties_in_the_Adiabatic_Nozzle
\] Differentiation of the equation state (perfect gas), $P = \rho R T$ , and dividing the results by the equation of state ( $\rho\, R\, T$ ) yields \] Rearranging equation (38) so that the density, ...\] Differentiation of the equation state (perfect gas), $P = \rho R T$ , and dividing the results by the equation of state ( $\rho\, R\, T$ ) yields \] Rearranging equation (38) so that the density, $\rho$ , can be replaced by the static pressure, $dP/\rho$ yields {dA \over A} + {d\rho \over \rho}\, {dP \over dP} \] Equation (41) is a differential equation for the pressure as a function of the cross section area.
3.4.4: Sad Consequences of the Second Law
https://eng.libretexts.org/Sandboxes/jhalpern/Energy_Alternatives/03%3A_Fossil_Fuels_and_Thermal_Engines/3.04%3A_The_Efficiency_of_Thermal_Engines/3.4.04%3A_Sad_Consequences_of_the_Second_Law
An amount of work $\Delta W$ can be added to it to increase its internal energy $U$ - the result is the same as if one added an equivalent amount of heat $\Delta Q$ , so that the entropy of the s...An amount of work $\Delta W$ can be added to it to increase its internal energy $U$ - the result is the same as if one added an equivalent amount of heat $\Delta Q$ , so that the entropy of the system increases by $\Delta S=\Delta W / T$ . Extracting a portion of work $\Delta W$ from the system would be equivalent with taking a portion of entropy $\Delta S=\Delta W / T$ away from it - so, in consequence, to lowering the system entropy, which is strictly forbidden by the Second Law.
InfoPage
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The LibreTexts libraries are Powered by MindTouch ® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the Californ...The LibreTexts libraries are Powered by MindTouch ® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot.

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