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- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/00%3A_Front_Matter/01%3A_TitlePageIntermediate Fluid Mechanics (Liburdy)
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/zz%3A_Back_Matter
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/10%3A_Introduction_to_Turbulence_EffectsThis is equivalent to the time average of the square of the fluctuations (the mean square value) \(\overline{{u'}^2}\), where the fluctuating velocity is \(u'=\left(u-\overline{u}\right)\) with \(\ove...This is equivalent to the time average of the square of the fluctuations (the mean square value) \(\overline{{u'}^2}\), where the fluctuating velocity is \(u'=\left(u-\overline{u}\right)\) with \(\overline{u}\) being the time average value of the velocity and u is the instantaneous value of the velocity.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/08%3A_Introduction_to_Viscous_FlowsIn this section we develop the governing equations for viscous flows resulting in the Navier-Stokes equations. We will simplify the equations for incompressible constant property flows, which are usef...In this section we develop the governing equations for viscous flows resulting in the Navier-Stokes equations. We will simplify the equations for incompressible constant property flows, which are useful for a vast majority of flow situations. We will then show how this seemingly formidable set of equations can be simplified for a number of rather practical flow problems resulting in exact, analytical solutions.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/04%3A_Potential_Flow_BasicsThe reason there is a negative sign for \(u_2\Delta x_1\)is that in determining the flow rate between points B and C we integrate along negative \(\Delta x_1\) direction (or the change in \(\Delta x_1...The reason there is a negative sign for \(u_2\Delta x_1\)is that in determining the flow rate between points B and C we integrate along negative \(\Delta x_1\) direction (or the change in \(\Delta x_1\) is negative) Also we have used the definition of the streamfuction, Equation \ref{4.7} to evaluate finite changes, on and . The interpretation then is that the flow rate \(\dot{Q}{'}\) is equivalent to the change in streamfunction value between two points within the flow.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/01%3A_IntroductionThis is easily noted by placing your hand out of the window of a car and comparing the resultant pressure on your hand with that of sticking it out of a boat into the water below when moving at the sa...This is easily noted by placing your hand out of the window of a car and comparing the resultant pressure on your hand with that of sticking it out of a boat into the water below when moving at the same speed as in the car.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/07%3A_The_Panel_Method_-_An_IntroductionThen we know that the circulation set up in the boundary layer is not able to cause flow into the foil, rather by superposition, the sum of the flow induced by the local vortex flow, \(dv_v\), determi...Then we know that the circulation set up in the boundary layer is not able to cause flow into the foil, rather by superposition, the sum of the flow induced by the local vortex flow, \(dv_v\), determined by the magnitude of \(\gamma\)(x), must be balanced by the freestream flow component normal to the foil surface (which is at angle \(\alpha\) to the freestream if we neglect the small camber for now).
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/02%3A_Mathematical_ToolsIn tensor operation this is expressed as \(\frac{\partial a}{\partial x_i}\) which is a vector whose components correspond to each of the three possible values of the index “\({i}\)”. If the gradient ...In tensor operation this is expressed as \(\frac{\partial a}{\partial x_i}\) which is a vector whose components correspond to each of the three possible values of the index “\({i}\)”. If the gradient is being taken of a vector, say \({u{}_{j}}\), the the resulting gradient expression is a second order tensor with the two indices, \({i }\) for the partial derivatives and \(\textit{j}\) for the vector quantity \({u{}_{j}}\).
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/zz%3A_Back_Matter/20%3A_GlossaryExample and Directions Words (or words that have the same definition) The definition is case sensitive (Optional) Image to display with the definition [Not displayed in Glossary, only in pop-up on pag...Example and Directions Words (or words that have the same definition) The definition is case sensitive (Optional) Image to display with the definition [Not displayed in Glossary, only in pop-up on pages] (Optional) Caption for Image (Optional) External or Internal Link (Optional) Source for Definition "Genetic, Hereditary, DNA ...") (Eg. "Relating to genes or heredity") The infamous double helix CC-BY-SA; Delmar Larsen Glossary Entries Definition Image Sample Word 1 Sample Definition 1
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/00%3A_Front_Matter
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Intermediate_Fluid_Mechanics_(Liburdy)/00%3A_Front_Matter/02%3A_InfoPageThe 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.