Solutions for EBK NUMERICAL METHODS FOR ENGINEERS
Problem 1P:
8.1 Perform the same computation as in Sec. 8.1, but for ethyl alcohol at a temperature of 375 K...Problem 2P:
8.2 In chemical engineering, plug flow reactors (that is, those in which fluid flows from one end to...Problem 3P:
8.3 In a chemical engineering process, water vapor is heated to sufficiently high temperatures that...Problem 4P:
The following equation pertains to the concentration of a chemical in a completely mixed reactor:...Problem 5P:
8.5 A reversible chemical reaction
Can be characterized by the equilibrium relationship...Problem 6P:
The following chemical reactions take place in a closed system 2A+BCA+DC At equilibrium, they can be...Problem 7P:
The Redlich-Kwong equation of state is given by p=RTvbav(v+b)T where R= the universal gas constant...Problem 8P:
The volume V of liquid in a hollow horizontal cylinder of radius r and length L is related to the...Problem 9P:
The volume V of liquid in a spherical tank of radius r is related to the depth h of the liquid by...Problem 10P:
8.10 For the spherical tank in Prob. 8.9, it is possible to develop the following two fixed-point...Problem 11P:
8.11 The operation of a constant density plug flow reactor for the production of a substance via an...Problem 12P:
8.12 The Ergun equation, shown below, is used to describe the flow of a fluid through a packed bed....Problem 13P:
The pressure drop in a section of pipe can be calculated as p=fLpV22D where p= the pressure drop...Problem 14P:
8.14 In structural engineering, the secant formula defines the force per unit area, , that causes a...Problem 15P:
8.15 In environmental engineering (a specialty area in civil engineering), the following equation...Problem 16P:
8.16 The concentration of pollutant bacteria c in a lake decreases according to
Determine the...Problem 17P:
A catenary cable is one that is hung between two points not in the same vertical line. As depicted...Problem 18P:
8.18 Figure P8.18a shows a uniform beam subject to a linearly increasing distributed load. The...Problem 19P:
8.19 The displacement of a structure is defined by the following equation for a damped...Problem 20P:
8.20 The Manning equation can be written for a rectangular open channel as
where flow the...Problem 21P:
In ocean engineering, the equation for a reflected standing wave in a harbor is given by...Problem 22P:
8.22 You buy a $20,000 piece of equipment for nothing down and $4000 per year for 6 years. What...Problem 23P:
Many fields of engineering require accurate population estimates. For example, transportation...Problem 24P:
8.24 A simply supported beam is loaded as shown in Fig. P8.24. Using singularity functions, the...Problem 25P:
8.25 Using the simply supported beam from Prob. 8.24, the moment along the beam, , is given...Problem 26P:
Using the simply supported beam from Prob. 8.24, the slope along the beam is given by:...Problem 27P:
Using the simply supported beam from Prob. 8.24, the displacement along the beam is given by:...Problem 29P:
8.29 Perform the same computation as in Sec. 8.3, but determine the value of L required for the...Problem 30P:
An oscillating current in an electric circuit is described by i=9etsin(2t), where t is in seconds....Problem 32P:
8.32 A total charge Q is uniformly distributed around a ring-shaped conductor with radius a. A...Problem 33P:
8.33 Figure P8.33 shows a circuit with a resistor, an inductor, and a capacitor in parallel....Problem 34P:
Beyond the Colebrook equation, other relationships, such as the Fanning friction factor f, are...Problem 35P:
Real mechanical systems may involve the deflection of nonlinear springs. In Fig. P8.35, a mass m is...Problem 36P:
Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work....Problem 37P:
Aerospace engineers sometimes compute the trajectories of projectiles like rockets. A related...Problem 38P:
The general form for a three-dimensional stress field is given by [xxxyxzxyyyyzxzyzzz] where the...Problem 39P:
The upward velocity of a rocket can be computed by the following formula: v=uInm0m0qtgt where v=...Problem 40P:
The phase angle between the forced vibration caused by the rough road and the motion of the car is...Problem 41P:
Two fluids at different temperatures enter a mixer and come out at the same temperature. The heat...Problem 42P:
A compressor is operating at compression ratio Rc of 3.0 (the pressure of gas at the outlet is three...Problem 43P:
In the thermos shown in Fig. P8.43, the innermost compartment is separated from the middle container...Problem 44P:
8.44 Figure P8.44 shows three reservoirs connected by circular pipes. The pipes, which are made of...Problem 45P:
A fluid is pumped into the network of pipes shownin Fig.P8.45. At steady state, the following flow...Problem 46P:
8.46 Repeat Prob. 8.45, but incorporate the fact that the friction factor can be computed with the...Browse All Chapters of This Textbook
Chapter 1 - Mathematical Modeling And Engineering Problem SolvingChapter 2 - Programming And SoftwareChapter 3 - Approximations And Round-off ErrorsChapter 4 - Truncation Errors And The Taylor SeriesChapter 5 - Bracketing MethodsChapter 6 - Open MethodsChapter 7 - Roots Of PolynomialsChapter 8 - Case Studies: Roots Of EquationsChapter 9 - Gauss EliminationChapter 10 - Lu Decomposition And Matrix Inversion
Chapter 11 - Special Matrices And Gauss-seidelChapter 12 - Case Studies: Linear Algebraic EquationsChapter 13 - One-dimensional Unconstrained OptimizationChapter 14 - Multidimensional Unconstrained OptimizationChapter 15 - Constrained OptimizationChapter 16 - Case Studies: OptimizationChapter 17 - Least-squares RegressionChapter 18 - InterpolationChapter 19 - Fourier ApproximationChapter 20 - Case Studies: Curve FittingChapter 21 - Newton-cotes Integration FormulasChapter 22 - Integration Of EquationsChapter 23 - Numerical DifferentiationChapter 24 - Case Studies: Numerical Integration And DifferentiationChapter 25 - Runge-kutta MethodsChapter 26 - Stiffness And Multistep MethodsChapter 27 - Boundary-value And Eigenvalue ProblemsChapter 28 - Case Studies: Ordinary Differential EquationsChapter 29 - Finite Difference: Elliptic EquationsChapter 30 - Finite Difference: Parabolic EquationsChapter 31 - Finite-element MethodChapter 32 - Case Studies: Partial Differential Equations
Sample Solutions for this Textbook
We offer sample solutions for EBK NUMERICAL METHODS FOR ENGINEERS homework problems. See examples below:
Chapter 1, Problem 1PChapter 1, Problem 12PChapter 1, Problem 22PChapter 2, Problem 1PChapter 2, Problem 14PChapter 2, Problem 18PChapter 3, Problem 1PChapter 3, Problem 11PChapter 4, Problem 1P
Chapter 4, Problem 6PChapter 5, Problem 1PChapter 5, Problem 3PChapter 5, Problem 4PChapter 6, Problem 1PChapter 6, Problem 2PChapter 6, Problem 7PChapter 6, Problem 23PChapter 7, Problem 1PGiven Information: The given equation is, f(x)=x3+x2−4x−4 Use Müller’s method. Formula used: The...Chapter 7, Problem 9PChapter 8, Problem 1PChapter 8, Problem 23PChapter 8, Problem 44PChapter 8, Problem 46PChapter 8, Problem 48PChapter 9, Problem 1PChapter 9, Problem 2PChapter 9, Problem 21PChapter 10, Problem 1PChapter 10, Problem 3PChapter 10, Problem 8PChapter 11, Problem 1PChapter 11, Problem 12PChapter 11, Problem 13PChapter 12, Problem 1PChapter 12, Problem 10PChapter 12, Problem 12PGiven Information: The air flow through the room with proper description is provided as follows:...Chapter 13, Problem 1PChapter 13, Problem 6PChapter 13, Problem 8PChapter 14, Problem 1PChapter 14, Problem 5PChapter 15, Problem 1PGiven Information: The factors are given as below, Resource Regular Premium Supreme Resource...Chapter 16, Problem 1PChapter 16, Problem 5PChapter 16, Problem 19PChapter 16, Problem 33PChapter 17, Problem 1PChapter 17, Problem 2PChapter 17, Problem 22PChapter 18, Problem 1PChapter 18, Problem 10PChapter 18, Problem 14PChapter 19, Problem 1PChapter 19, Problem 4PChapter 19, Problem 6PChapter 20, Problem 1PGiven Information: The table is given as, Depth, m 0 0.5 1.0 1.5 2.0 2.5 3.0 Temperature, Celsius 70...Chapter 20, Problem 15PChapter 20, Problem 16PChapter 20, Problem 41PChapter 20, Problem 48PChapter 20, Problem 60PChapter 21, Problem 1PChapter 21, Problem 2PChapter 22, Problem 1PGiven Information: The given integral is, ∫2∞1x(x+2)dx Formula used: Simpson’s 1/3 rule. I1=h3[...Chapter 23, Problem 1PChapter 23, Problem 8PChapter 23, Problem 20PChapter 24, Problem 1PChapter 24, Problem 35PChapter 24, Problem 36PChapter 24, Problem 44PChapter 24, Problem 45PChapter 24, Problem 46PChapter 25, Problem 1PChapter 25, Problem 2PChapter 26, Problem 1PChapter 26, Problem 6PChapter 27, Problem 1PChapter 27, Problem 27PChapter 27, Problem 28PChapter 27, Problem 29PChapter 28, Problem 1PChapter 28, Problem 7PGiven Information: The series of first order, liquid phase reactions is, A→k1B→k2C The second order...Chapter 28, Problem 18PChapter 28, Problem 27PChapter 28, Problem 49PChapter 29, Problem 1PGiven Information: The fixed temperature at top and right boundary is 100 °C and the fixed...Chapter 30, Problem 1PChapter 30, Problem 5PChapter 31, Problem 1PGiven Information: To develop nodal equations for the temperature and their gradients at each of the...Chapter 32, Problem 1PChapter 32, Problem 9P
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