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Eat, drink and be merry with maths Chris Budd

Eat, drink and be merry with maths Chris Budd. A common scenario. You meet someone at a party and (foolishly) Tell them you are a mathematician. Their immediate reaction is to … Panic Leave quickly Tell you that .. Mathematics is completely useless

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Eat, drink and be merry with maths Chris Budd

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  1. Eat, drink and be merry with maths Chris Budd

  2. A common scenario You meet someone at a party and (foolishly) Tell them you are a mathematician • Their immediate reaction is to … • Panic • Leave quickly • Tell you that .. • Mathematics is completely useless • Mathematicians are souless geeks • All mathematicians are mad!

  3. In response you can … • Deny that you are a mathematician • Not go to any more parties • Agree that mathematicians are evil • or …. Say that • The modern world would not exist without maths • Maths is great for food • Mathematicians organise great parties

  4. From Farm to Fork and Beyond Maths and the food industry We use maths to help grow, store, freeze, defrost, transport, cook, eat and digest food Maths can do lots of what if? experiments in complete safety

  5. Microwave cooking (CCFRA)

  6. How safe is microwave cooking? • If you cook a potato in a microwave cooker what gets hotter? • The outside • The middle • Somewhere else? • What is the best design of a microwave cooker? • Mode stirred • Turntable

  7. What happens in a microwave oven? Microwaves Magnetron Potato L: Length: 2-14cm d: Penetration depth: 8mm

  8. Electric Field Calculations (Maxwell) Small oscillations about an exponential decay Lambert

  9. Use the heat equation to find thefood temperature T FOOD 2cm 10cm

  10. 650W Oven, Mode stirrer Temperature

  11. 650W Point Temperatures

  12. Thermal image of cross section after 3 minutes heating

  13. 750W turntable oven

  14. Turntable oven, thermal image taken after 5 minutes heating Cold Spot

  15. Conclude: The corners of the food get hot first The middle starts cool And stays cool in a turntable oven

  16. What happens when we eat the food? [Unilever] Stomach Small intestine: 7m x 1.25cm Intestinal wall: Villi and Microvilli

  17. Process: • Food enters stomach and leaves as Chyme • Nutrients are absorbed through the intestinal wall • Chyme passes through small intestine in 4.5hrs Intestinal wall Stomach Colon, illeocecal sphincter Peristaltic wave Mixing process

  18. Objectives • Model the process of food moving through the intestine • Model the process of nutrient mixing and absorption

  19. The equations for poo • Navier Stokes • Slow viscous Axisymmetric flow • Velocity & Stokes Streamfunction The equations are a bit sticky to solve!!!

  20. Illeocecal sphincteropen

  21. Food concentration Without peristalsisWith peristalsis

  22. Illeocecal sphincter closed

  23. Food concentration Without peristalsisWith peristalsis

  24. Food absorbed With peristalsis Without peristalsis Peristaltic waves greatly enhance mixing and the absorption of food

  25. What have mathematicians done for parties? You have five friends, Annabel, Brian, Colin,Daphne, Edward Want to invite three to a party • Annabel hates Brian and Daphne • Brian hates Colin and Edward • Daphne hates Edward ACE Who do you invite?

  26. Now have 200 friends and want 100 to come to a party Who do you invite? Have a book saying who hates who 900000000000000000000000000000000000000000000000000000000000000000 Parties tocheck Takes a high speed computer 6000000000000000000000000000000000000000 Years to check them

  27. Using maths we can solve it in seconds Simulated annealing Works for a party and many other problems SATNAV devices!

  28. Conclusion …. your • Life • Food • Party Are safe in the hands of a mathematician

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