Hydraulic/Shock-Jumps in Protoplanetary Disks

... ð6Þ For the gravitational body force, let be the background potential, presumably due to the central star, and let g1 and g2 be the contribution to from the gas self-gravity in the pre- and postshock regions. The ratio of the potential gradients then becomes ...

... ð6Þ For the gravitational body force, let be the background potential, presumably due to the central star, and let g1 and g2 be the contribution to from the gas self-gravity in the pre- and postshock regions. The ratio of the potential gradients then becomes ...

Stoichiometry Worksheet

... 8. The average human requires 120.0 grams of glucose (C6H12O6) per day. How many grams of CO2 (in the photosynthesis reaction) are required for this amount of glucose? The photosynthetic reaction is: 6 CO2 + 6 H2O C6H12O6 + 6 O2 This problem is slightly different from those above. ...

... 8. The average human requires 120.0 grams of glucose (C6H12O6) per day. How many grams of CO2 (in the photosynthesis reaction) are required for this amount of glucose? The photosynthetic reaction is: 6 CO2 + 6 H2O C6H12O6 + 6 O2 This problem is slightly different from those above. ...

chapter 5 open-channel flow

... (Figure 5-1). The surface of the flow thus formed is called a free surface, because that flow boundary is freely deformable, in contrast to the solid boundaries. The boundary conditions at the free surface of an open-channel flow are always that both the pressure and the shear stress are zero everyw ...

... (Figure 5-1). The surface of the flow thus formed is called a free surface, because that flow boundary is freely deformable, in contrast to the solid boundaries. The boundary conditions at the free surface of an open-channel flow are always that both the pressure and the shear stress are zero everyw ...

Stokesian peristaltic pumping in a three

... number dynamics,4 transport in finite tubes,5 the transport of solid particles,6 the effects of viscoelasticity,7,8 and the investigation of optimal channel shapes for pumping fluid.9 In addition, methods of dynamical systems have been used to investigate the topology of flow structures in axisymmet ...

... number dynamics,4 transport in finite tubes,5 the transport of solid particles,6 the effects of viscoelasticity,7,8 and the investigation of optimal channel shapes for pumping fluid.9 In addition, methods of dynamical systems have been used to investigate the topology of flow structures in axisymmet ...

Numerical solution methods for shock and detonation jump

... Cartoon depiction of the transformation from the laboratory to the wave fixed reference frame. Hugoniots (a) Shock wave propagating in a non-exothermic mixture or a mixture with frozen composition. (b) Shock wave propagating in an exothermic mixture. . . . . . . . . . . . . . . The Rayleigh line and ...

... Cartoon depiction of the transformation from the laboratory to the wave fixed reference frame. Hugoniots (a) Shock wave propagating in a non-exothermic mixture or a mixture with frozen composition. (b) Shock wave propagating in an exothermic mixture. . . . . . . . . . . . . . . The Rayleigh line and ...

DESIGN OF OFFSHORE PIPELINE(HE801)

... 3. Discuss about the relationship between ɸ , k and CL and the parameters defining the wave and pipline condition. 3. A desing wave with height, H = 4m, and period, T = 12 seconds acts on apipeline with a diameter, Dia = 2.0 m in a water depth 20 m. The pipeline oriented at an angle of 30 degree wit ...

... 3. Discuss about the relationship between ɸ , k and CL and the parameters defining the wave and pipline condition. 3. A desing wave with height, H = 4m, and period, T = 12 seconds acts on apipeline with a diameter, Dia = 2.0 m in a water depth 20 m. The pipeline oriented at an angle of 30 degree wit ...

Fluid Mechanics - 上海交通大学工程力学教学基地

... 2-6.4 Internal and External Flows • Flows completely bounded by solid surfaces called internal or duct flows. Flows over bodies immersed in an unbounded fluid are termed external flows. • The incompressible flow through a pipe, the nature of the flow(laminar and turbulent) is determined by the Reyn ...

... 2-6.4 Internal and External Flows • Flows completely bounded by solid surfaces called internal or duct flows. Flows over bodies immersed in an unbounded fluid are termed external flows. • The incompressible flow through a pipe, the nature of the flow(laminar and turbulent) is determined by the Reyn ...

Dumitrache_Carabineanu 125

... trailing edge vortices to have significant interaction with one another. 4.2 Power and Efficiency Because many of the simulations produce aperiodic solutions, averages are taken over many flaps (starting after several flaps are made to allow for the suppression of the initial transients). The overal ...

... trailing edge vortices to have significant interaction with one another. 4.2 Power and Efficiency Because many of the simulations produce aperiodic solutions, averages are taken over many flaps (starting after several flaps are made to allow for the suppression of the initial transients). The overal ...

(Ir)reversibility and entropy

... to a rigorous symmetry between past and future. It is possible, as discussed in the article by T. Damour in this same volume, that irreversibility is inscribed in other physical laws, for example on the side of general relativity or quantum mechanics. Since Boltzmann, statistical physics has advance ...

... to a rigorous symmetry between past and future. It is possible, as discussed in the article by T. Damour in this same volume, that irreversibility is inscribed in other physical laws, for example on the side of general relativity or quantum mechanics. Since Boltzmann, statistical physics has advance ...

Intercomparison of Sediment Transport Formulas in Current - e-Geo

... An intercomparison between the sediment transport rates predicted by different formulas implemented in the morphodynamics modeling system MORSYS2D in current and combined wave-current conditions was performed. As the formula results were not compared with experimental data, we cannot assert which fo ...

... An intercomparison between the sediment transport rates predicted by different formulas implemented in the morphodynamics modeling system MORSYS2D in current and combined wave-current conditions was performed. As the formula results were not compared with experimental data, we cannot assert which fo ...

Investigating Shock Wave—Boundary Layer Interaction Caused By

... Our simulations utilized the fluid-solver framework, AMROC (Adaptive Mesh Refinement in Object-oriented C++), version 2.0, integrated into the Virtual Test Facility (Deiterding et al., 2005), which is based on the block-structured adaptive mesh refinement algorithm of Berger and Oliger. This algorit ...

... Our simulations utilized the fluid-solver framework, AMROC (Adaptive Mesh Refinement in Object-oriented C++), version 2.0, integrated into the Virtual Test Facility (Deiterding et al., 2005), which is based on the block-structured adaptive mesh refinement algorithm of Berger and Oliger. This algorit ...

Chapter 4 Classifying Reactions: Chemicals in Balance

... The name and state of each reactant and product are given. Plan Your Strategy A skeleton equation lists the chemical formula of each reactant on the left, separated by a + sign if more than one reactant is present, followed by →. The chemical formula of each product is listed on the right, separated ...

... The name and state of each reactant and product are given. Plan Your Strategy A skeleton equation lists the chemical formula of each reactant on the left, separated by a + sign if more than one reactant is present, followed by →. The chemical formula of each product is listed on the right, separated ...

Governing Equation

... For laminar ﬂow, friction factor calculation is simple as it is a function of the Reynolds number (Re). But in turbulent ﬂow, friction factor is a complex function of relative surface roughness and Re. Blasius [1] presented the ﬁrst correlation for friction factor as a curve ﬁt to smooth wall data c ...

... For laminar ﬂow, friction factor calculation is simple as it is a function of the Reynolds number (Re). But in turbulent ﬂow, friction factor is a complex function of relative surface roughness and Re. Blasius [1] presented the ﬁrst correlation for friction factor as a curve ﬁt to smooth wall data c ...

ent 153_bernoulli equation

... • Steadiness of flow means that the flow-pattern does not change with time whereas unsteadiness refers to changing flow-pattern with the passage of time at the same point in space. Uniform Flow: If the velocity, in magnitude, direction and sense is identical throughout the flow field, the flow is s ...

... • Steadiness of flow means that the flow-pattern does not change with time whereas unsteadiness refers to changing flow-pattern with the passage of time at the same point in space. Uniform Flow: If the velocity, in magnitude, direction and sense is identical throughout the flow field, the flow is s ...

Continued on Next page

... phosphoric acid, H3PO4 , in an exothermic reaction. P4O10(s) + 6H2O() → 4 H3PO4(aq) ∆H ˚rxn = −257.2 kJ (a) Rewrite the thermochemical equation, including the enthalpy change as a heat term in the equation. (b) How much energy is released when 5.00 mol of P4O10 reacts with excess water? (c) How muc ...

... phosphoric acid, H3PO4 , in an exothermic reaction. P4O10(s) + 6H2O() → 4 H3PO4(aq) ∆H ˚rxn = −257.2 kJ (a) Rewrite the thermochemical equation, including the enthalpy change as a heat term in the equation. (b) How much energy is released when 5.00 mol of P4O10 reacts with excess water? (c) How muc ...

Fluids and Fluid Mechanics Fluids in motion – Dynamics Equation of

... Bernoulli’s Equation: Conservation of Energy in a Moving Fluid Having the equation of continuity, we are now in a position to describe the moving fluid. Let’s assume that we have a pipe as shown in Figure #2. The left end of the pipe at point 1 is at a height y1 above the ground and the fluid enters ...

... Bernoulli’s Equation: Conservation of Energy in a Moving Fluid Having the equation of continuity, we are now in a position to describe the moving fluid. Let’s assume that we have a pipe as shown in Figure #2. The left end of the pipe at point 1 is at a height y1 above the ground and the fluid enters ...

Using Animations to Enhance Understanding of - ASEE

... contain specific details of topics and applications and tend to be longer that either conference papers or other ASEEsponsored journal offerings. The purpose of this paragraph is to demonstrate the extensive ASEE literature on animation as well as the level of long-term interest exhibited by the ASE ...

... contain specific details of topics and applications and tend to be longer that either conference papers or other ASEEsponsored journal offerings. The purpose of this paragraph is to demonstrate the extensive ASEE literature on animation as well as the level of long-term interest exhibited by the ASE ...

1 - A-Level Chemistry

... can only score M2 if d10 in M1 correct allow ‘full d orbital’ if d10 in M1 do not allow d block ...

... can only score M2 if d10 in M1 correct allow ‘full d orbital’ if d10 in M1 do not allow d block ...

Slide 1

... flow direction and since the pressure in the outer part of the flow that was not effected by the presence of the body is p , the pressure throughout this downstream flow will be p . From this it follows that the pressure acting on the downstream faces of body in Newtonian hypersonic flow is p . T ...

... flow direction and since the pressure in the outer part of the flow that was not effected by the presence of the body is p , the pressure throughout this downstream flow will be p . From this it follows that the pressure acting on the downstream faces of body in Newtonian hypersonic flow is p . T ...

Experimental demonstration of the supersonic

... theory to describe it but did not take viscosity into account. The standard theory for viscous fluids is due to Watson [2] and has been further improved through the inclusion of surface tension by Bush and Aristoff [3]. The circular jump is an intricate phenomenon of fluid dynamics: while it suffice ...

... theory to describe it but did not take viscosity into account. The standard theory for viscous fluids is due to Watson [2] and has been further improved through the inclusion of surface tension by Bush and Aristoff [3]. The circular jump is an intricate phenomenon of fluid dynamics: while it suffice ...

Secondary wave lift degradation

... The effect of anti-icing treatments on the take-off performance was evaluated by measuring the lift coefficient degradation ∆Cl due to the contamination. This means sequential Cl - measurements of a clean wing and a contaminated wing. As the result is a difference between the two lift coefficients a ...

... The effect of anti-icing treatments on the take-off performance was evaluated by measuring the lift coefficient degradation ∆Cl due to the contamination. This means sequential Cl - measurements of a clean wing and a contaminated wing. As the result is a difference between the two lift coefficients a ...

201_problems

... ring are negligible. Perhaps a free body diagram would be in order! 15. (20 pts) A stretched string of mass m, length L, and tension T is driven by two sources, one at each end. The sources both have the same frequency and amplitude A, but are exactly 180 degrees out of phase with respect to one a ...

... ring are negligible. Perhaps a free body diagram would be in order! 15. (20 pts) A stretched string of mass m, length L, and tension T is driven by two sources, one at each end. The sources both have the same frequency and amplitude A, but are exactly 180 degrees out of phase with respect to one a ...

Khusnutdinova2009-Kolmogorov.pdf

... anisotropic, but this information is lost in the cascade so that at much smaller scales the motion is locally homogeneous and isotropic. ...

... anisotropic, but this information is lost in the cascade so that at much smaller scales the motion is locally homogeneous and isotropic. ...

FLUID MECHANICS PART II(1)

... We may not that Fp is the total force due to pressure on the surface of the volume V , whether volume V is occuppied by the fluid or not. This clearly reveals that a body immersed in a fluid experiences a force Fp due to pressure, equal and oppositte to the body force Fbody which would be exerted on ...

... We may not that Fp is the total force due to pressure on the surface of the volume V , whether volume V is occuppied by the fluid or not. This clearly reveals that a body immersed in a fluid experiences a force Fp due to pressure, equal and oppositte to the body force Fbody which would be exerted on ...

mass mass calc

... following reaction. 2NH3(g) + CO2(g) NH2CONH2(s) + H2O(g) 2. Calculate the number of moles of oxygen that is needed to react with 2.40 moles of ammonia to produce poisonous hydrogen cyanide, HCN(g) given the balanced chemical equation:: 2NH3(g) + 3O2(g) + 2CH4(g) 2HCN(g) + 6H2O(g) 3. Calculate t ...

... following reaction. 2NH3(g) + CO2(g) NH2CONH2(s) + H2O(g) 2. Calculate the number of moles of oxygen that is needed to react with 2.40 moles of ammonia to produce poisonous hydrogen cyanide, HCN(g) given the balanced chemical equation:: 2NH3(g) + 3O2(g) + 2CH4(g) 2HCN(g) + 6H2O(g) 3. Calculate t ...

# Cnoidal wave

In fluid dynamics, a cnoidal wave is a nonlinear and exact periodic wave solution of the Korteweg–de Vries equation. These solutions are in terms of the Jacobi elliptic function cn, which is why they are coined cnoidal waves. They are used to describe surface gravity waves of fairly long wavelength, as compared to the water depth.The cnoidal wave solutions were derived by Korteweg and de Vries, in their 1895 paper in which they also propose their dispersive long-wave equation, now known as the Korteweg–de Vries equation. In the limit of infinite wavelength, the cnoidal wave becomes a solitary wave.The Benjamin–Bona–Mahony equation has improved short-wavelength behaviour, as compared to the Korteweg–de Vries equation, and is another uni-directional wave equation with cnoidal wave solutions. Further, since the Korteweg–de Vries equation is an approximation to the Boussinesq equations for the case of one-way wave propagation, cnoidal waves are approximate solutions to the Boussinesq equations.Cnoidal wave solutions can appear in other applications than surface gravity waves as well, for instance to describe ion acoustic waves in plasma physics.