Identify a real-world problem in which the concept of a “thin film” and an "infinite slab"...

Identify a real-world problem in which the concept of a “thin film” and an "infinite slab" can be applied and turn in a copy of an appropriate problem statement.

Solutions

Expert Solution

Thin gel or slab of air freshener is a common real world application in which the concept of a “thin film” and an "infinite slab" can be observed.

Background

Film theory was proposed by Walter G. Whitman in 1923. It is the simplest theory which explains behaviour of mass transfer coefficient in turbulent flow. When a fluid flows turbulently (forced convection by fan) past a solid surface (air freshener), with mass transfer occurring from the surface to the fluid. In Fig. above, the actual concentration profile is shown by curve while the dotted lines represent concentration profile assumed in Film Theory.

Problem Statement

Consider a thin gel (essential oil in gelatin) or thin solid slab (napthelene) which is 100 mm long and 5 mm thick, placed in a room at 298K and 1 atm. Since infinity is a concept of relative measure; when length is much larger than thickness, it can be considered that diffusion occurs on an infinite slab. A thin film forms over the solid surface such that quantity of solute (A) within the film (C_A2) would be small relative to the amount passing through it (C_A1). The solute diffuses through a film of 0.5 mm thickness. Estimate the rate (mol/ m².s) at which fragrance (i.e, solute, A) enters in air, at steady state.The bulk of air consists of 20 mol% of A and binary diffusivity is 20 mm²/s.

Amanda K answered 1 year ago

Next > < Previous

Related Solutions

3a. Identify a real world problem that you are familiar with that can be modeled as...

3a. Identify a real world problem that you are familiar with that can be modeled as a TSP. State the problem. Set-up the distance/cost/penalty matrix and solve it using the TSP model provided by the Lingo software. You need to define the number of cities and the distance matrix only in the model and run it. Interpret the optimal solution and comment on the solution. Try to select a problem with 6 to 8 Tasks(cities).

This assignment should challenge the students to research and identify a real-world problem as well as...

This assignment should challenge the students to research and identify a real-world problem as well as come up with a concept for a potential solution. The identified problem should be corroborated with at least 3 reputable sources. The proposed solution does not need to be fully formulated but the students should reasonably demonstrate that the feasibility of completing a prototype during the timeframe of the course with available resources.

Describe a real world business problem and propose a solution or solutions to the problem by...

Describe a real world business problem and propose a solution or solutions to the problem by applying managerial economics concepts. Focus on a problem and its solutions. What will be the pros and cons of the solution or solutions.

Describe a real-world prediction problem using urban data for which interpretability of your models and results...

Describe a real-world prediction problem using urban data for which interpretability of your models and results is essential, and for which it might be preferable to use decision trees rather than random forests. Argue why this is the case.

Describe a real-world prediction problem using urban data for which accuracy is paramount and interpretability may...

Describe a real-world prediction problem using urban data for which accuracy is paramount and interpretability may be less important, and for which it might be preferable to use random forests rather than decision trees. Argue why this is the case.

The objective of this experiment is to identify real world applications of quantum mechanics. Write a...

The objective of this experiment is to identify real world applications of quantum mechanics. Write a paper with a minimum of 1200 words discussing real world applications of quantum mechanics. Do NOT copy and paste off the internet!

Problem #5 a. In the “real world” the market structure that dominates retailing is _______________________, Firms in...

Problem #5 a. In the “real world” the market structure that dominates retailing is _______________________, Firms in ____________________ market structure compete based on ________________________________________________________. They may have ____________________________________ in the short- run, but in the long –run economic profits move toward ______________________ as more firms ______________________________ and demand for a single firm’s product or services ______________. b. The behavior of oligopolistic firms is interdependent. One way of demonstrating how oligopolistic firms may behave is chaos theory /game theory, which shows that most cartel...

The Snowplow Problem To apply the techniques discussed in this chapter to real-world problems, it is...

The Snowplow Problem To apply the techniques discussed in this chapter to real-world problems, it is neces- sary to translate these problems into questions that can be answered mathematically. The process of reformulating a real-world problem as a mathematical one often requires making certain simplifying assumptions. To illustrate this, consider the following snow- plow problem: One morning it began to snow very hard and continued snowing steadily throughout the day. A snowplow set out at 9:00 am to clear a...

While it is difficult to identify a real-world market that meets the textbook definition of perfect...

While it is difficult to identify a real-world market that meets the textbook definition of perfect competition, there are many real-world markets in which price-taking behavior is observed and in those cases the model is quite valid. Give an example of a near-perfectly competitive firm. If you were managing that firm, how would you prepare for the Post-Pandemic World?

While it is difficult to identify a real-world market that meets the textbook definition of perfect...

Subjects