Trabalho de Historia
Gois no Perodo Monrquico
CEPP
Alunos:
Luclia Oliveira Muniz
Victor Pereira Araujo
Werik Borges Teixeira
Introduo
A histria de Gois se inicia no fim do sculo XVI, quando as explora
Trabalho de Filosofia
Kant
CEPP
Alunos:
Luclia Oliveira Muniz
Victor Pereira Araujo
Werik Borges Teixeira
Raisleny Alves da Silva
Introduo
Immanuel Kant (Knigsberg, 22 de abril de 1724 Knigsberg, 12 d
Examples of Kinematic Computations in MATLAB
This short tutorial, given in terms of a series of examples, is intended to get you a quick
start on using MALTAB to perform kinematic computations and plo
PROBLEM 7.2
KNOWN: Temperature and velocity of engine oil. Temperature and length of flat plate.
FIND: (a) Velocity and thermal boundary layer thickness at trailing edge, (b) Heat flux and surface she
PROBLEM 7.9
KNOWN: Dimensions and surface temperature of electrically heated strips. Temperature and velocity
of air in parallel flow.
FIND: (a) Rate of convection heat transfer from first, fifth and
PROBLEM 7.1
KNOWN: Temperature and velocity of fluids in parallel flow over a flat plate.
FIND: (a) Velocity and thermal boundary layer thicknesses at a prescribed distance from the leading
edge, and
PROBLEM 7.3
KNOWN: Velocity and temperature of air in parallel flow over a flat plate.
FIND: (a) Velocity boundary layer thickness at selected stations. Distance at which boundary layers
merge for pla
PROBLEM 7.4
KNOWN: Liquid metal in parallel flow over a flat plate.
FIND: An expression for the local Nusselt number.
SCHEMATIC:
ASSUMPTIONS: (1) Steady, incompressible flow, (2) < t, hence u(y) u, (3
PROBLEM 7.6
KNOWN: Velocity and temperature profiles and shear stress-boundary layer thickness
relation for turbulent flow over a flat plate.
FIND: (a) Expressions for hydrodynamic boundary layer thic
PROBLEM 7.5
KNOWN: Form of velocity profile for flow over a flat plate.
FIND: (a) Expression for profile in terms of u and , (b) Expression for (x), (c) Expression for
Cf,x.
SCHEMATIC:
ASSUMPTIONS: (1
PROBLEM 7.7
KNOWN: Parallel flow over a flat plate and two locations representing a short span x1 to x2
where (x2 - x1) < L.
FIND: Three different expressions for the average heat transfer coefficient
PROBLEM 7.8
KNOWN: Flat plate comprised of rectangular modules of surface temperature Ts, thickness a and
length b cooled by air at 25C and a velocity of 30 m/s. Prescribed thermophysical properties o
PROBLEM 7.10
KNOWN: Speed and temperature of atmospheric air flowing over a flat plate of prescribed
length and temperature.
5
5
6
FIND: Rate of heat transfer corresponding to Rex,c = 10 , 5 10 and 10
PROBLEM 8.10
KNOWN: Thermal energy equation describing laminar, fully developed flow in a circular pipe with
viscous dissipation.
FIND: (a) Left hand side of equation integrated over the pipe volume,
PROBLEM 8.9
KNOWN: Flow rate and properties of oil flowing in pipe. Dimensions of pipe.
FIND: Pressure drop, flow work, temperature rise caused by flow work.
SCHEMATIC:
L = 100 km
Oil
.
m = 500 kg/s
PROBLEM 8.8
KNOWN: Velocity and temperature profiles for laminar flow in a parallel plate channel.
FIND: Mean velocity, um, and mean (or bulk) temperature, Tm, at this axial position. Plot the velocit
PROBLEM 8.6
KNOWN: Water, engine oil and NaK flowing in a 20 mm diameter tube, temperature of the
fluids.
FIND: (a) The mean velocity as well as hydrodynamic and thermal entrance lengths, for a flow
r
PROBLEM 8.7
KNOWN: Velocity and temperature profiles for laminar flow in a tube of radius ro = 10 mm.
FIND: Mean (or bulk) temperature, Tm, at this axial position.
SCHEMATIC:
ASSUMPTIONS: (1) Laminar
PROBLEM 8.5
KNOWN: The x-momentum equation for fully developed laminar flow in a parallel-plate channel
dp
d 2u
= constant = 2
dx
dy
FIND: Following the same approach as for the circular tube in Secti
PROBLEM 8.4
KNOWN: Number, diameter and length of tubes and flow rate for an engine oil cooler.
FIND: Pressure drop and pump power (a) for flow rate of 24 kg/s and (b) as a function of flow rate for
&
PROBLEM 8.3
KNOWN: Temperature and velocity of water flow in a pipe of prescribed dimensions.
FIND: Pressure drop and pump power requirement for (a) a smooth pipe, (b) a cast iron pipe with a clean
su
PROBLEM 8.2
KNOWN: Temperature and mean velocity of water flow through a cast iron pipe of
prescribed length and diameter.
FIND: Pressure drop.
SCHEMATIC:
ASSUMPTIONS: (1) Steady-state conditions, (2)
PROBLEM 8.1
KNOWN: Flowrate and temperature of water in fully developed flow through a tube of
prescribed diameter.
FIND: Maximum velocity and pressure gradient.
SCHEMATIC:
ASSUMPTIONS: (1) Steady-sta
PROBLEM 5.1
KNOWN: Electrical heater attached to backside of plate while front surface is exposed to
convection process (T,h); initially plate is at a uniform temperature of the ambient air and
sudden
PROBLEM 5.4
KNOWN: Plate initially at a uniform temperature Ti is suddenly subjected to convection
process (T,h) on both surfaces. After elapsed time to, plate is insulated on both surfaces.
FIND: (a)
PROBLEM 5.3
KNOWN: Microwave and radiant heating conditions for a slab of beef.
FIND: Sketch temperature distributions at specific times during heating and cooling.
SCHEMATIC:
ASSUMPTIONS: (1) One-dim
PROBLEM 5.2
KNOWN: Plane wall whose inner surface is insulated and outer surface is exposed to an
airstream at T. Initially, the wall is at a uniform temperature equal to that of the airstream.
Sudden
PROBLEM 5.5
KNOWN: Geometries of various objects. Material and/or properties. Cases (a) through (d):
Convection heat transfer coefficient between object and surrounding fluid. Case (e): Emissivity of
PROBLEM 5.7
KNOWN: Diameter and initial temperature of steel balls in air. Expression for the air
temperature versus time.
FIND: (a) Expression for the sphere temperature, T(t), (b) Graph of T(t) and
PROBLEM 5.6
KNOWN: Diameter and initial temperature of steel balls cooling in air.
FIND: Time required to cool to a prescribed temperature.
SCHEMATIC:
ASSUMPTIONS: (1) Negligible radiation effects, (2