### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# Mathematical Modeling in the Environment MATH 1050

UCONN

GPA 3.97

### View Full Document

## 6

## 0

## Popular in Course

## Popular in Mathematics (M)

This 12 page Class Notes was uploaded by Mary Veum on Thursday September 17, 2015. The Class Notes belongs to MATH 1050 at University of Connecticut taught by Dmitriy Leykekhman in Fall. Since its upload, it has received 6 views. For similar materials see /class/205810/math-1050-university-of-connecticut in Mathematics (M) at University of Connecticut.

## Reviews for Mathematical Modeling in the Environment

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/17/15

MATH 1050QC Mathematical Modeling in the Environment Lecture 13 OneDimensional Diffusion Dmitriy Leykekhman Spring 2009 Diffusion in Thin Long Tube LONG THIN TUBE ramIon huei lt 3 i 6 figure 312 from C Hadlock39s book 1D Model Equation Our goal is to understand the onedimensional diffusion equation M 2 5 4m V 4th where gt C concentration units of masslength M mass of material instantaneously injected t time D diffusion constant units of lengthQtime X distance from center at which concentration is calculated Class Problem Consider the onedimensional diffusion in a long tube Assume that a solid is being released into a liquid that fills the tube and that solid is diffusing Let I 0 corresponds to the center of the tube If a mass of 10 grams is released at the center of this tube and the diffusion constant D 005 cm2sec calculate the concentration C at all of these locations and at each of the following time values t1 2t107 7t1007 t 1000 sec Graph these results in the form of curves showing concentration as a function of location a different curve for each time value MATH 1050QC Mathematical Modeling in the Environment Lecture 6 Interstitial Velocity Equation Dmitriy Leykekhman Spring 2009 General Issues We are trying to answer two general questions 1 the quantity of water flowing through the aquifer 2 the speed or velocity of the flow General Issues We are trying to answer two general questions 1 the quantity of water flowing through the aquifer 2 the speed or velocity of the flow Darcy39s Law give us the answer to the first question and we turn to the second question Flow through open Channel with unit cross sectional area AIDMOMMNIHB1WM END VIEW CMNER VIEW figure 217 from C Hadlock39s book Flow through open Channel with half cross sectional area blocked E wxmmmmmm END VIEW comm VIEW fi ure 218 from C Hadlock39s book quotV g m Flow through Channel filled with porous material with porosity 77 05 EmmaMot uwMammm WWIt nunnah Ind figure 219 from C Hadlock39s book Interstitial Velocity Definition Interstitial Velocity is the speed at which the molecules of water are progressing in the direction of movement Let 1 represent interstitial velocity

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over $600 per month. I LOVE StudySoup!"

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.