why we use euler equation in fluid mechanics
In order to get relationship between velocity, pressure and density of moving fluid for steady flow of an ideal fluid.
The integration of Eulers equation gives energy per unit weight of fluid.
1.Why should we study fluid mechanics? 2.What's a Fluid mechanics? 3.What's a Fluid? 4,What's difference between a solid and a fluid ? 5.What is the difference between a unit and a dimension? 6.Which terms in equation are dimensionally homogeneous? 2ma 7.What is Density? 8.What is Specific Weight? 9.What is Specific Gravity? 10.What is Specific Volume? 11. What is the ideal gas equation of state?
Explain in words why we need to introduce the stress tensor for fluid mechanics.
Advanced Fluid Mechanics For an inviscid fluid we have Euler's equation (vectors are denoted by bold characters) )= Vp - Vgx + V xu at and whether or not the fluid is incompressible, we also have the conservation of mass Dp +pv u 0. Dt Show that x Vp Dt Deduce that, if p is a function of palone, the vorticity equation is exactly as in the incompressible, constant density case, except that ois replaced by ap. For an inviscid...
In addition, derive the "wave equation" for an incompressible fluid. Use the continuity equation and the linearized euler equation. Linearized Euler: A flow is incompressible if a fluid element does not change its density as the element moves. From Problem 54.1, this means (7p/dt) u . ρ-0. (a) Show that for an incompressible fluid the equation of continuity reduces to V -u -0. (b) Write Euler's equation for the flow of an incompressible fluid. (c) What is c for an...
(fluid mechanics) why is the integral of y*dA = 0?
why did we not just use Qin = Q our and solve where did the other variables came in the equation i thought convesation of mass is Min - Mout https://www.chegg.com/homework-help/fundamentals-of-fluid-mechanics-7th-edition-chapter-5-problem-12p-solution-9781118116135?trackid=0530221cc62f&strackid=a5d176cfc25c
Bio-mechanics: Use an equation and concept of linear and angular kinematics to explain why the driver (club used to hit the ball the farthest in golf) is the longest club used in golf.
Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. (Use yp for dy dt and ypp for d2y dt2 .) x2y'' + 7xy' − 16y = 0 Use the substitution x = ef to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. (Use yp for dy and ypp for dt dt2 x?y" + 7xy' - 16y = 0 x Solve the original equation by solving the...
In a 3-min or less recorded video, explain the purpose/use of Navier-Stokes equations in fluid mechanics. How are the equations used and applied? Give a detailed description of a specific use or application of the Navier-Stokes equation in water resources engineering. In what circumstances can you obtain an exact solution? Upload your video to Warpwire video in Isidore.
Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. (Use yp for y dt and ypp for d2y dt2 .) x2y'' − 3xy' + 13y = 4 + 7x Solve the original equation by solving the new equation using the procedure in Sections 4.3-4.5. Use the substitution X = e' to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. (Use yp for- and ypp for t...