N ew to nian F luid = + 2 + . - - PowerPoint PPT Presentation

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N ew to nian F luid = + 2 + . - - PowerPoint PPT Presentation

Nov 29, 2022 102 likes β€’240 views

N avier-S to kes equatio n fo r an inco m pres s ible N ew to nian F luid = + 2 + . + Breur Lab, Brown University Ted Caplow, Columbia

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N avier-S to kes equatio n fo r an inco m pres s ible N ew to nian F luid

Breur Lab, Brown University

πœ–π‘€ πœ–π‘’ + 𝑀 . 𝛼𝑀 = βˆ’ 𝛼𝑄 𝜍 + πœ‰π›Ό2𝑀 + 𝐺

𝑓𝑦

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Ted Caplow, Columbia

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R e =

π½π‘œπ‘“π‘ π‘’π‘—π‘π‘š 𝐺𝑝𝑠𝑑𝑓𝑑 π‘Šπ‘—π‘‘π‘‘π‘π‘£π‘‘ 𝐺𝑝𝑠𝑑𝑓𝑑

R e =

πœπ‘€ 𝑉 πœƒ

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Freund et. al. Development (2012)

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Cartwright et. al. HFSP J. (2008)

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Actin-dependent cytoplasmic streaming in C. elegans oogenesis, Uta Wolke, Erin A. Jezuit, James R. Priess, Development 2007 134: 2227-2236

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Actin-dependent cytoplasmic streaming in C. elegans oogenesis, Uta Wolke, Erin A. Jezuit, James R. Priess, Development 2007 134: 2227-2236

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Randomization of Left–Right Asymmetry due to Loss of Nodal Cilia Generating Leftward Flow of Extraembryonic Fluid in Mice Lacking KIF3B Motor Protein, Cell, 95 (1998) Fluid-dynamical basis of the embryonic development of left-right asymmetry in vertebrates, Julyan H. E. Cartwright, Oreste Piro, and Idan Tuval PNAS May 11, 2004

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ScienceWorld, Wolfram

𝐺 = 6πœŒπœƒπ‘†π‘€

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References and further reading