In general,there is no single resultant force on the irregular plane. The horizontalcomponent and the vertical component may not be on the same plane. For a twodirectional plane,the horizontal and vertical components are on the same plane,whichcan be comb...[继续阅读]

    In equation(2-23),the integral ∫Az hdAz＝Vp represents geometric volume which iscalled pressure prism. In fact,the calculation of vertical component of fluid hydrostaticpressure on the curved plane is the calculation of pressure prism. So the concept ofpre...[继续阅读]

    (1)In a limited space,the variation of gas pressure with the depth is slight and theweight of gas is negligible. After analyzing the forces acting on the detached body,thepressure exerted by gas on the curved surface is:Horizontal component Fx＝p·Ax (2-26)...[继续阅读]

    1. Buoyancy force and buoyancy center of a submerged bodyThe object floating on the surface of the water or submerged below the watersurface also bears hydrostatic pressure,which is the sum of hydrostatic pressure at eachpoint on the surface of the object...[继续阅读]

    There is a submerged object with the weight of G. The barycenter and center ofbuoyancy of this object locate at point C and D,respectively. According to the relativeposition of the center of gravity and buoyancy in the same vertical line,the equilibriumst...[继续阅读]

    The conditions for the equilibrium of the floating bodies and that of submergedbodies are the same. The equilibrium conditions are: (1) Gravity G and buoyancy Fz areequal in magnitude,but opposite in direction; (2) Gravity G and buoyancy Fz act on thesame...[继续阅读]

    1. What kind of forces are acting on the real fluid and ideal fluid at rest or inmotion,respectively?2. How much is the unit mass force of the fluid at rest,with which mass force onlyincludes gravity? (The coordinate axis z is vertically upward)3. Are the...[继续阅读]

    1. On a square with side length of 0.02 m in a horizontal plane xOy,uniform forceacting on the square is F=4i+3j+9k and the unit is N. Calculate: (1) the verticalcomponent and tangential component; (2) pressure and shearing stress.2. Calculate the absolut...[继续阅读]

    There are two ways to describe fluid motion.1. Lagrangian approachThe Lagrangian description is based on the motion of fluid particles. It is the directextension of single particle kinematics to a whole field of fluid particles that are labeledby their lo...[继续阅读]

    1. Composition of Euler accelerationIn fluid motion,the acceleration can be divided into two parts.(1) local acceleration.(2) Convection acceleration.2. Mathematical descriptionThe flow rate is a complex function of time. Euler acceleration can be obtaine...[继续阅读]