Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
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Chapter 6, Problem 6.21P
Assuming a transition Reynolds number of
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A rod of diameter 0,08 m and length 0,13 m is inside a concentric cylindrical casing. The rod and its casing are vertically located. A liquid of density 900 kg/m3 and viscosity 0.9 Pa.s is used as a lubrication medium between rod and its casing. The rod is rotated at a speed of 46 rad/s. Due to the narrow clearance 0,03 m between rod and casing gravitational effects and surface curvature effects are ignored . Assume liquid flow in clearance as laminar steady and incompressible and use pi number, π = 3.14
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Chapter 6 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 6 - The temperature distribution within a laminar...Ch. 6 - In flow over a surface, velocity and temperature...Ch. 6 - In a particular application involving airflow over...Ch. 6 - Water at a temperature of T=25C flows over one of...Ch. 6 - For laminar flow over a flat plate, the local heat...Ch. 6 - A flat plate is of planar dimension 1m0.75m. For...Ch. 6 - Parallel flow of atmospheric air over a flat plate...Ch. 6 - For laminar free convection from a heated vertical...Ch. 6 - A circular. hot gas jet at T is directed normal to...Ch. 6 - Experiments have been conducted to determine local...
Ch. 6 - A concentrating solar collector consists of a...Ch. 6 - Air at a free stream temperature of T=20C is in...Ch. 6 - The heat transfer rate per unit width (normal to...Ch. 6 - Experiments to determine the local convection heat...Ch. 6 - An experimental procedure for validating results...Ch. 6 - If laminar flow is induced at the surface of a...Ch. 6 - Consider the rotating disk of Problem 6.16. A...Ch. 6 - Consider airflow over a flat plate of length L=1m...Ch. 6 - A fan that can provide air speeds up to 50 m/s is...Ch. 6 - Consider the flow conditions of Example 6.4 for...Ch. 6 - Assuming a transition Reynolds number of 5105,...Ch. 6 - To a good approximation, the dynamic viscosity the...Ch. 6 - Prob. 6.23PCh. 6 - Consider a laminar boundary layer developing over...Ch. 6 - Consider a laminar boundary layer developing over...Ch. 6 - Experiments have shown that the transition from...Ch. 6 - An object of irregular shape has a characteristic...Ch. 6 - Experiments have shown that, for airflow at T=35C...Ch. 6 - Experimental measurements of the convection heat...Ch. 6 - To assess the efficacy of different liquids for...Ch. 6 - Gases are often used instead of liquids to cool...Ch. 6 - Experimental results for heat transfer over a flat...Ch. 6 - Consider conditions for which a fluid with a free...Ch. 6 - Consider the nanofluid of Example 2.2. Calculate...Ch. 6 - For flow over a flat plate of length L, the local...Ch. 6 - For laminar boundary layer flow over a flat plate...Ch. 6 - Sketch the variation of the velocity and thermal...Ch. 6 - Consider parallel flow over a flat plate for air...Ch. 6 - Forced air at T=25C and V=10m/s is used to cool...Ch. 6 - Consider the electronic elements that are cooled...Ch. 6 - Consider the chip on the circuit board of Problem...Ch. 6 - A major contributor to product defects in...Ch. 6 - A microscale detector monitors a steady flow...Ch. 6 - A thin, flat plate that is 0.2m0.2m on a side is...Ch. 6 - Atmospheric air is in parallel flow...Ch. 6 - Determine the drag force imparted to the top...Ch. 6 - For flow over a flat plate with an extremely rough...Ch. 6 - A thin, flat plate that is 0.2m0.2m on a side with...Ch. 6 - As a means of preventing ice formation on the...Ch. 6 - A circuit board with a dense distribution of...Ch. 6 - On a summer day the air temperature is 27C and the...Ch. 6 - It is observed that a 230-mm-diameter pan of water...Ch. 6 - The rate at which water is lost because of...Ch. 6 - Photosynthesis, as it occurs in the leaves of a...Ch. 6 - Species A is evaporating from a flat surface into...Ch. 6 - Prob. 6.57PCh. 6 - Prob. 6.58PCh. 6 - An object of irregular shape has a characteristic...Ch. 6 - Prob. 6.60PCh. 6 - An object of irregular shape 1 m long maintained...Ch. 6 - Prob. 6.62PCh. 6 - Prob. 6.63PCh. 6 - Prob. 6.64PCh. 6 - Prob. 6.65PCh. 6 - A streamlined strut supporting a bearing housing...Ch. 6 - Prob. 6.67PCh. 6 - Consider the conditions of Problem 6.7, for which...Ch. 6 - Using the naphthalene sublimation technique. the...Ch. 6 - Prob. 6.70PCh. 6 - Prob. 6.71PCh. 6 - Prob. 6.72PCh. 6 - Dry air at 32C flows over a wetted (water) plate...Ch. 6 - Dry air at 32C flows over a wetted plate of length...Ch. 6 - Prob. 6.75PCh. 6 - Prob. 6.76PCh. 6 - Prob. 6.77PCh. 6 - An expression for the actual water vapor partial...Ch. 6 - A mist cooler is used to provide relief for a...Ch. 6 - A wet-bulb thermometer consists of a...Ch. 6 - Prob. 6.81PCh. 6 - Prob. 6.83PCh. 6 - An experiment is conducted to determine the...Ch. 6 - Prob. 6.85PCh. 6 - Consider the control volume shown for the special...Ch. 6 - Prob. 6S.2PCh. 6 - Prob. 6S.3PCh. 6 - Consider two large (infinite) parallel plates, 5...Ch. 6 - Prob. 6S.5PCh. 6 - Consider Couette flow for which the moving plate...Ch. 6 - A shaft with a diameter of 100 mm rotates at 9000...Ch. 6 - Consider the problem of steady, incompressible...Ch. 6 - Prob. 6S.11PCh. 6 - A simple scheme for desalination involves...Ch. 6 - Consider the conservation equations (6S.24) and...
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- In the design of small scale bioprocess plant, a shear sensitive Newtonian liquid of density 1100 kg/m2, and viscosity 0.015 Nsm? is to be transported along a length of pipe at a rate of 4.3 litter per minute. Determine the diameter of the pipe required if the pressure drop along the pipe is not to exceed 100 Nm per meter length.arrow_forwardA thin plate of very large area is placed in a gap of height h with oils of Еxample viscosities u' and u" on the two sides of the plate. The plate is pulled at a constant velocity V. Calculate the position of plate so that : The shear force on the two sides of the plate is equal (i) The force required to drag the plate is minimum. Assume viscous flow and neglect all end effects. SO Position of the plate, y: Thin platearrow_forwardIn secondsarrow_forward
- The rotating parts of a hydroelectric power plant having power capacity W . have a rotational synchronous speed n .. The weight of the rotating parts (the hydroturbine and its electric generator) is supported in a thrust bearing having annular form between D and d diameters as sketched. The thrust bearing is operated with a very thin oil film of thickness e and dynamic viscosity ? . It is assumed that the oil is a Newtonian fluid and the velocity is approximated as linear in the bearing. Calculate the ratio of lost power in the thrust bearing to the produced power in the hydraulic power plant. Use W . = 48.6 MW, ? = 0.035 Pa⋅s, n . = 500 rpm, e = 0.25 mm, D = 3.2 m, and d = 2.4 m.arrow_forwardIn regions far from the entrance, fluid flow through a circular pipe is one dimensional, and the velocity profile for laminar flow is given as u(r) = umax(1 - r2/R2), where R is the radius of the pipe, r is the radical distance from the center of the pipe, and umax is the maximum flow velocity, which occurs at the center. Obtain the following: A relation for the drag force applied by the fluid on a section of the pipe at length L The value of the drag force for water flow at 20°C with R = 0.07 m, L = 35 m, umax = 4 m/s, and μ = 0.0010 kg/m·sarrow_forwardA plate 0.05 mm distant from a fixed plate, moves at 0.5 m/s and requires force 5 N/m² to maintain this speed. Determine the fluid viscosity between platesarrow_forward
- ASSIGNMENT A flat plate with a length of 2.4 m and width 0.9 m moves horizontally with velocity 1 m/s in still air with a density 1.21 kg/m³ and kinematic viscosity of 1.49 x 105 m²/s. Determine 8, 8*, 0 at 2.4 m from the leading edge, and to Cf Cof and Df by using the Von Karman approximate method. The boundary layer is laminar, solve the problem by using the following velocity profiles. Determine the corresponding percentage error for the calculated 8, 8*, and 0. (i) Linear (ii) Parabolic (iii) Cubic (iv) Sin wave (u/U)=y/8 21 21 21 U =sin 28arrow_forwardDetermine force for the questionarrow_forwardA large plate is pulled at a constant speed of U = 4 m/s over a fixed plate on 5-mm-thick engine oil film at 20°C. Assuming a half-parabolic velocity profile in the oil film, while the flow is developing as sketched, determine the shear stress on the upper plate and its direction. Repeat for the linear profile (dashed line) that develops after a long timearrow_forward
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