Problem 1CP: What does the word kinematics mean? Explain what the study of fluid kinematics involves. Problem 2CP: Briefly discuss the difference between derivative operators d and . If the derivative u/x appears in... Problem 3P: Consider steady flow of water through an axisymmetric garden hose nozzle (Fig. P4-6). Along the... Problem 4P: Consider the following steady, two-dimensional velocity field: V=(u,v)=(a2( bcx)2)i+(2cby+2c2xy)j Is... Problem 5P: -5 A steady, two-dimensional velocity field is given byV=(u,v)=(0.7813.25x)i+(3.54+3.25y)j... Problem 6P: Consider the following steady, two-dimensional velocity field: V=(u,v)=(0.66+2.1x)i+(2.72.1y)j Is... Problem 7CP: What is the Eulerian description of fluid motion? How does it differ from the lagrangian... Problem 8CP: Is the Lagrangian method of fluid flow analysis more similar to study of a system or a control... Problem 9CP Problem 10CP: A stationary probe is placed in a fluid flow and measures pressure and temperature as functions of... Problem 11CP: A tiny neutrally buoyant electronic pressure probe is released into the inlet pipe of a water pump... Problem 12CP: Define a steady flow field in the Eulerian reference frame. In such a steady flow, is it possible... Problem 13CP: List at least three oiler names for the material derivative, and write a brief explanation about why... Problem 14CP: A weather balloon is hunched into the atmosphere by meteorologists. When the balloon reaches an... Problem 15CP: A Pilot-stalk probe can often be seen protruding from the underside of an airplane (Fig. P4-14C). As... Problem 16CP: Is the Eulerian method of fluid flow analysis more similar to study of a system or a control volume?... Problem 17P: Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P4-16). A... Problem 18P: Converging duct flow is modeled by the steady, dimensional ve1od field of Prob. 4-16. The pressure... Problem 19P Problem 20P: A steady, incompressible, two-dimensional velocity field is given by the following components in the... Problem 21P: The velocity field for a flow is given by V=ui+vj+wk where u=3x , v=2y , w=2z . Find the streamline... Problem 22P: Consider steady flow of air through the diffuser portion of a wind tunnel (Fig. P4-21). Along the... Problem 23P: For the velocity field of Prob. 422, calculate the fluid acceleration along the diffuser centerline... Problem 24P: A steady, incompressible, two-dimensional (in the xy-plane) velocity field is given... Problem 25P: For the velocity field of Prob. 4-6, calculate the fluid acceleration along the nozzle centerline as... Problem 26CP Problem 27CP Problem 28CP: What is the definition of a streamline? What do streamlines indicate? Problem 29CP Problem 30CP: Consider the visualization of flow over a 15° delta wing in Fig. P4-29C. Are we seeing streamlines,... Problem 31CP: Consider the visualization of ground vortex flow in Fig P4-30C. Are we seeing streamlines, streaks,... Problem 32CP: Consider the visualization of flow over a sphere in Fig. P4-31C. Are we seeing streamlines,... Problem 33CP: What is the definition of a timeline? How can timelines be produced in a water channel? Name an... Problem 34CP: Consider a cross-sectional slice through an array of heat exchanger tubes (Fig. P4-33C). For each... Problem 35P Problem 36P: The velocity field of a flow is described by V=(4x)i+(5y+3)j+(3t2)k . What is the pathline of a... Problem 37P: Consider the following steady, incompressible, two-dimensional velocity field:... Problem 39P: Consider the steady, incompressible, two-dimensional velocity field of Prob. 4-37. Generate a vector... Problem 40P: A steady, incompressible, two-dimensional velocity fie is given by V=(v,v)=(1+2,5x+y)i+(0.53x2.5y)j... Problem 41P Problem 42P Problem 43P: The velocity held for a line vartex in the r -plane (Fig. P4-46) is given byur=0u=Kt where K is the... Problem 44P: The velocity field for a line some in the r plane (Fig. P4-43) is given by ur=m2u=0 Where m is the... Problem 45P: A very small circular cylinder of radius Rtis rotating angular velocity i , inside a much larger... Problem 46P: Consider the same two concentric cylinders of Prob. 4-44. This time, however, the inner cylinder is... Problem 47EP: Conversing duct flow is modeled by the steady, two-dimensional velocity field of Prob. 4-16. For the... Problem 48CP Problem 49CP: Name and briefly describe the four fundamental types of motion or deformation of fluid particles. Problem 50P: Converging duct flow (Fig. P4—16) is modeled by the steady, two-dimensional velocity field of Prob.... Problem 51P Problem 52P Problem 53P Problem 54P: Converging duct flow is modeled by the steady, two-dimensional velocity field of Prob. 4—16. A fluid... Problem 55P: Converging duct flow is modeled by the steady, two-dimensional velocity field of Prob. 4-16. As... Problem 56P: Using the results of Prob. 4—57 and the fundamental definition of linear strain rate (the rate of... Problem 57P Problem 58P Problem 59P: For the velocity field of Prob. 4—60, what relationship must exist between the coefficients to... Problem 60P: For the velocity field of Prob. 4—60, calculate the linear strain rates in the x- and y- directions. Problem 61P: For the velocity field of Prob. 4—60, calculate the shear strain rate in the xy-plane. Problem 62P Problem 63P Problem 64P: Consider steady, incompressible, two-dimensional shear flow for which the velocity field is... Problem 65P Problem 66P: Consider the steady, incompressible, two-dimensional flow field of Prob. 4—66. Using the results of... Problem 67P Problem 68P Problem 69P Problem 70P Problem 71P Problem 72P Problem 73P: A cylindrical lank of water rotates in solid-body rotation, counterclockwise about its vertical axis... Problem 74P Problem 75P: A cylindrical tank of radius rrim= 0.354 m rotates about its vertical axis (Fig. P4—74). The tank is... Problem 76P Problem 77P Problem 78P: Consider the following steady, three-dimensional velocity field:... Problem 79P Problem 80P: For the Couette flow of Fig. P4—79, calculate the linear strain rates in the x- and y-directions,... Problem 81P: Combine your results from Prob. 4—80 to form the two-dimensional strain rate tensor ij=( yx yy xx... Problem 82P: A steady, three-dimensional velocity field is given by... Problem 83P Problem 84P Problem 85P: A steady, three-dimensional velocity field is given by... Problem 88CP Problem 89CP: Briefly explain the purpose of the Reynolds transport theorem (RH). Write the RH for extensive... Problem 90CP: True or false: For each statement, choose whether the statement is true or false and discuss your... Problem 91P: Consider the integral ddtt2tx2. Solve it two ways: (a) Take the integral first and then the time... Problem 92P Problem 93P: Consider the general form of the Reynolds transport theorem (RTT) given by dBxysdt=ddtCVbdVcsbV,ndA... Problem 94P: Consider the general form of the Reynolds transport theorem (RTT) as stated in Prob. Let B11 be the... Problem 95P Problem 96P Problem 97P Problem 98P Problem 99P: Consider fully developed two-dimensional Poiseuille flow—flow between two infinite parallel plates... Problem 100P: For the two-dimensional Poiseuille flow of Prob. 4—99, calculate the linear strain rates in the x-... Problem 101P: Combine your results from Prob. 4—100 to form the two-dimensional strain rate tensor in the... Problem 103P Problem 107P Problem 108P: The velocity field for an incompressible flow is given as V=5x2i20xyj+100tk. Determine if this flow... Problem 109P Problem 110P Problem 111P Problem 112P Problem 114P Problem 115P: In a steady, two-dimensional flow field in the xy-plane the x-component of velocity is... Problem 116P Problem 117P Problem 119P Problem 120P: Based on your results of Prob. 4—116, discuss the compressibility (or incompressibility) of this... Problem 121P Problem 122P Problem 123P: Water is flowing in a 3-cm-diameter garden hose at a rate of 30 L/min. A 20-cm nozzle is attached to... Problem 124P Problem 125P Problem 126P Problem 127P Problem 128P Problem 129P: The actual path traveled by an individual fluid particle over some period is called a (a) Pathline... Problem 130P Problem 131P Problem 132P: An array of arrows indicating the magnitude and direction of a vector property at an instant in time... Problem 133P Problem 134P Problem 135P Problem 136P Problem 137P: A steady, two-dimensional velocity field is given by V=(u,v)=(2.51.6x)i+(0.7+0.8y)jwhere the x- and... Problem 138P Problem 139P Problem 140P Problem 141P Problem 142P format_list_bulleted