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                    MEK4300 - Viscous Flow and Turbulence
                  
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        <h1>Messages
          
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    <div id="messageListing.localRepoLookupSearchComponent" class="vrtx-resources messageListing.localRepoLookupSearchComponent">

  




              <div class="vrtx-result-1 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/ignore-the-message-this-morning.html">Ignore the message this morning</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 11, 2024 12:04 PM            </div>


            <div class="description introduction">
                <p>Hi,</p>

<p>&nbsp;</p>

<p>The message sent out this morning was wrong. We will have the discussion on Wedge flow this Tuesday and lecture on instability this Thursday.</p>

<p>&nbsp;</p>

<p>Bests,</p>

<p>Andreas &amp; Jingbang</p>

            </div>
        </div>



              <div class="vrtx-result-2 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/turbulence-modelling---in-class-presentation-discussion.-tentative-date-nov.-19th-.html">Turbulence modelling - in class presentation/discussion. Tentative date, Nov. 19th </a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 7, 2024 2:12 PM            </div>


            <div class="description introduction">
                <p>As we announced in the class, the "homework" for next week will be reading two articles on history of<a href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/annurev-fluid-120821-025116.pdf"> computations of turbulence</a> and <a href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/schmitt-boussinesq-final.pdf">turbulence modelling</a>.</p>

<p>We will discuss the details of the Schmitt articles, so please go through the details and be ready to discuss this in class.&nbsp;<br/>
The date will be determined next week, tentatively tuesday 19th November.</p>

            </div>
        </div>



              <div class="vrtx-result-3 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/preparation-for-nov.-12th-taylor-wedge-problem-and-its-elastic-analouge-.html">Preparation for Nov. 12th, Taylor wedge problem and its elastic analouge </a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 29, 2024 10:13 PM            </div>


            <div class="description introduction">
                <p>Tarjei will present the following on Nov. 12, but I would encourage everyone to also follow the same derivation :)&nbsp;<br/><br/> Everyone should have read the article that will be part of the discussion, with particular emphasis of the physical consequences.&nbsp;</p><p>----------------------------</p><p style="text-align:start"><span style="font-style:normal"><span style="font-weight:400"><span style="white-space:normal">Consider some very viscous liquid placed on a solid substrate being scrapped by another solid plate very slowly at a given angle. This will create a flow in the viscous fluid around the corner, and one can solve for the velocity field, the normal and the tangential stresses on the scrapper by treating it as a Stokes flow. More interestingly, if the angle between the solid substrate and the scrapper is small, one can obtain the same normal and tangential stress by considering the thin film flow instead of the Stokes flow:...</span></span></span></p>
                  <div class="vrtx-read-more">
                    <a href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/preparation-for-nov.-12th-taylor-wedge-problem-and-its-elastic-analouge-.html" class="more">
Read more ...                    </a>
                  </div>
            </div>
        </div>



              <div class="vrtx-result-4 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/self-reading-material-on-turbulence-and-turbulence-modelling.html">Self-reading material on turbulence and turbulence modelling</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 29, 2024 9:59 PM            </div>


            <div class="description introduction">
                <p>There will be no lecture next week (starting nov. 4)<br/>
Read the chapters 6.1-6.7 (White 3rd edition, including also turbulence modelling in 6.7)&nbsp;</p>

            </div>
        </div>



              <div class="vrtx-result-5 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/stability-parallel-viscous-flows.html">Stability, parallel viscous flows</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 29, 2024 9:56 PM            </div>


            <div class="description introduction">
                <p>We will continue this week on the stability of flows and their criteria. Follow Chap. 5.1-5.3.5 and 5.4 in White (3rd edition)&nbsp;<br/>
<br/>
Tuesday will be about stability of parallel flows and first sign of turbulence&nbsp;</p>

            </div>
        </div>



              <div class="vrtx-result-6 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/notes-on-saffman-taylor.html">Notes on Saffman Taylor</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 24, 2024 8:11 PM            </div>


            <div class="description introduction">
                <p>Hi all,</p>

<p>&nbsp;</p>

<p><a href="/studier/emner/matnat/math/MEK4300/h24/Documents/saffman_taylor.pdf">Here</a>&nbsp;are the lecture notes on Saffman Taylor instability.</p>

<p>&nbsp;</p>

<p>Bests,</p>

<p>Jingbang</p>

            </div>
        </div>



              <div class="vrtx-result-7 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/mandatory-assignment-2-online-no-example-class-next-week.html">Mandatory assignment 2 online, no example class next week</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 24, 2024 8:10 PM            </div>


            <div class="description introduction">
                <p>Hi all,</p>

<p>&nbsp;</p>

<p>Mandatory assignment 2 is online now and due in 2 weeks. Good luck!</p>

<p>&nbsp;</p>

<p>There will be no example class next week, so you can spend more time on the mandatory assignment.</p>

<p>&nbsp;</p>

<p>Bests,</p>

<p>Jingbang</p>

            </div>
        </div>



              <div class="vrtx-result-8 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/oral-exam-schedule-tuesday-december-3.html">Oral exam schedule Tuesday December 3</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 22, 2024 2:58 PM            </div>


            <div class="description introduction">
                <p>We have arranged the oral exam Tuesday December 3 in the following way. Location is in NHA1119;<br/>
<br/>
09:15: Iver</p>

<p>10:00: Mustapha<br/>
<br/>
10:45: Tarjei<br/>
<br/>
Bring your knowledge and a good mood!&nbsp;</p>

            </div>
        </div>



              <div class="vrtx-result-9 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/example-sheet-8.html">Example sheet 8</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 17, 2024 5:25 PM            </div>


            <div class="description introduction">
                <p><a href="/studier/emner/matnat/math/MEK4300/h24/Documents/sheet8.pdf">Here</a> are the exercises for the exercise session next tuesday.</p>

            </div>
        </div>



              <div class="vrtx-result-10 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/more-notes-on-boundary-layer-and-example-sheet-7.html">More notes on boundary layer and example sheet 7</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 11, 2024 11:21 AM            </div>


            <div class="description introduction">
                <p>Hi all,</p>

<p>You can find the boundary layer notes we covered this week&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/boundary_layer2.pdf">here</a>, and example sheet 7&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/sheet7.pdf">here</a>.</p>

<p>Bests,</p>

<p>Jingbang</p>

            </div>
        </div>



              <div class="vrtx-result-11 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/example-sheet-6.html">Example sheet 6</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 3, 2024 4:01 PM            </div>


            <div class="description introduction">
                <p><a href="/studier/emner/matnat/math/MEK4300/h24/Documents/sheet6.pdf">Here</a> is the problem we will work on next tuesday.&nbsp;</p>

<p>Hopefully you will take a look before class.</p>

            </div>
        </div>



              <div class="vrtx-result-12 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/notes-boundary-layer-1.html">Notes: boundary layer 1</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 3, 2024 2:09 PM            </div>


            <div class="description introduction">
                <p>Hi all,</p>

<p>&nbsp;The notes for boundary layer over a flat plate can be found&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/boundary_layer1.pdf">here</a>.</p>

<p>Bests,</p>

<p>Jingbang</p>

            </div>
        </div>



              <div class="vrtx-result-13 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/example-sheet-5.html">Example sheet 5</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 26, 2024 4:50 PM            </div>


            <div class="description introduction">
                <p><a href="/studier/emner/matnat/math/MEK4300/h24/Documents/sheet5.pdf">Here</a> is the problem we will work on next tuesday.&nbsp;</p>

<p>Hopefully you will have time to take a look at it despite being busy with the Oblig.</p>

            </div>
        </div>



              <div class="vrtx-result-14 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/notes-thin-film.html">Notes: thin film</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 26, 2024 1:27 PM            </div>


            <div class="description introduction">
                <p>Hi all,</p>

<p>The lecture notes for thin film flows can be found&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/thinfilm.pdf">here</a>.</p>

<p>Bests,</p>

<p>Jingbang</p>

            </div>
        </div>



              <div class="vrtx-result-15 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/example-sheet-4.html">Example sheet 4</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 19, 2024 4:57 PM            </div>


            <div class="description introduction">
                <p>On tuesday we will do the free-interface version of the flow past a sphere from today.</p>

<p>Enjoy doing the details yourselves!</p>

<p>The problem is number 3-35 in the book and can also be found <a href="/studier/emner/matnat/math/MEK4300/h24/Documents/sheet4.pdf">Here</a></p>

            </div>
        </div>



              <div class="vrtx-result-16 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/mandatory-assignment-1-is-online.html">Mandatory assignment 1 is online</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 19, 2024 4:32 PM            </div>


            <div class="description introduction">
                <p>Hi all,</p>

<p>Mandatory assignment 1 is online, you can find it under "assignments" on canvas. The deadline is in 2 weeks, that is, October 3rd, 14:30. Best of luck!</p>

<p>Jingbang</p>

            </div>
        </div>



              <div class="vrtx-result-17 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/some-lecture-notes.html">Some lecture notes</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 19, 2024 2:42 PM            </div>


            <div class="description introduction">
                <p>Hi all,</p>

<p>Here are the notes for&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/stagnation_flow(viscous).pdf">stagnation flow (viscous)</a>,&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/ekman_flow.pdf">Ekman flow</a>,&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/stokes_flow1.pdf">Stokes flow 1</a>&nbsp;and&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/stokes_flow2(flow_past_sphere).pdf">Stokes flow 2</a>.</p>

<p>&nbsp;</p>

<p>Bests,</p>

<p>Jingbang</p>

            </div>
        </div>



              <div class="vrtx-result-18 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/example-sheet-3.html">Example sheet 3</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 13, 2024 2:30 PM            </div>


            <div class="description introduction">
                <p>The problem for the next exercise session is&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/sheet3.pdf">here</a>. Sorry for the delay in posting.&nbsp;</p>

<p>We will go through together on Tuesday.</p>

<p>Have a nice weekend!</p>

            </div>
        </div>



              <div class="vrtx-result-19 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/example-sheet-2.html">Example sheet 2</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 4, 2024 2:54 PM            </div>


            <div class="description introduction">
                <p>Hi all,</p>

<p>Example sheet 2 is&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/sheet2.pdf">here</a>.</p>

<p>Bests,</p>

<p>Jingbang</p>

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              <div class="vrtx-result-20 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/next-week.html">Next week</a>
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              <span class="published-date-prefix">
Published              </span>
Aug. 30, 2024 3:01 PM            </div>


            <div class="description introduction">
                <p>Next week we will have lecture on Tuesday and nothing on Thursday (as mentioned previously). On Tuesday we will start looking at unsteady flows.</p>

<p>The exercises for the next exercise session (10.9.) will be posted soon.</p>

<p>Have a nice sunny weekend :)</p>

            </div>
        </div>



              <div class="vrtx-result-21 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/example-sheet-1.html">Example sheet 1</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Aug. 23, 2024 4:36 PM            </div>


            <div class="description introduction">
                <p>Hi all,</p>

<p>Here is the&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/sheet1.pdf">example sheet 1</a>. It is mainly on Couette flow and Poiseuille flow, which Vira will cover Tuesday next week. But I'm uploading it now just in case some of you want to have a look early.&nbsp;</p>

<p>Bests,</p>

<p>Jingbang</p>

            </div>
        </div>



              <div class="vrtx-result-22 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/course-information-+-next-week-+-5.9..html">Course information + next week + 5.9.</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Aug. 23, 2024 4:19 PM            </div>


            <div class="description introduction">
                <p>Hi everyone,</p><p>There were some requests yesterday for course information that we went through in the slides on Tuesday. Here is a&nbsp;<a href="/studier/emner/matnat/math/MEK4300/h24/Documents/intromek4300.pdf">link to the slides</a>.</p><p>The textbook we are following is "Viscous Fluid Flow" by Frank White. There are a number of editions, but all are essentially the same.&nbsp;</p><p>We will be going through topics in chapters 1-6. There is a preliminary list of specific sections we will cover on slide 4, but this may be adapted as we go. The most important for you is to cover the topics that we discuss in class. Our lectures follow the book quite closely, so we recommend that you read at least the sections that are covered in lectures (our lecture notes will be posted here on the course page).</p><p>For next week, we will be switching the exercise session and the lecture. So on Tuesday we will begin lectures on Chapter 3,...</p>
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                    <a href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/course-information-+-next-week-+-5.9..html" class="more">
Read more ...                    </a>
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              <div class="vrtx-result-23 vrtx-resource">
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            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4300/h24/beskjeder/welcome!.html">Welcome!</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Aug. 16, 2024 2:00 PM            </div>


            <div class="description introduction">
                <p>Hi everyone,</p>

<p>Welcome to the MEK4300 Viscous Flow and Turbulence. We will be posting lecture notes and example sheet here. Stay tuned :)</p>

<p>Looking forward to seeing you next Tuesday (20th Aug)!</p>

<p>Bests,</p>

<p>Vira, Jingbang and Andreas</p>

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