Meet Prof. Mehmet Pakdemirli of Celal Bayar University, an expert in applied mathematics in the science of motion, who studies mechanical vibrations and fluid mechanics. Part 2/5
Read the full transcript »
The Dynamics of Existence Part 2/5 Male: Dynamics is the study of motion. As Dr. Pakdemirli explains, all movements should be analyzed in terms of the forces that it can connect, its velocities, acceleration, and the degree to which you can perform safely. Fluid Mechanics is evident everywhere, from the flight of birds and the movement of airplanes and helicopters all the way down to the materials in a cell which are moving in fluids. The area of interest in fluid mechanics is very broad from the simple active taking oxygen into the body or the things we consume which are all in a fluid state to the use of industrial polymers. The ability to study these fluids and understand the underlying principles of movement is the basis of fluid dynamics. Mathematics which is a discipline of thoughts is the basic language used to study dynamics and fluid mechanics. For example, to explain how the earth revolves around the sun in an elliptical path, the concept is best expressed in a universal language like mathematics. And this language can be applied to all sciences including biology and more recently even the social sciences. One of the earliest applications of mathematics was in the field of engineering where mathematics and geometry are essential to the design of products and their safe to use. Dr. Pakdemirli: Also, mathematics is helpful in understanding the cosmos and the art of — also. For example the concept of infinity is very important in mathematics and you can understand the cosmos—the universe better by the concept of infinity. The concept of small and large, they can be better expressed by means of mathematics. Male: Dr. Pakdemirli states that mathematics is applied to the design of products and their safe to use can also be applied to creatures in nature. To function properly, creatures need to move to find food and to reproduce themselves. To perform consistently and safely, creatures need to have been created according engineering principles just like manufactured products. A perfect example is the creation of a bird. How it uses its wings to move about to gather food is a study in fluid dynamics—fluid being the common name given to gasses and liquids. The Bernoulli’s Principle states that when the velocity of the fluids increases, the pressure drops. When fluid in this case air reaches the front of an airplane wing, it separates as it passes over and under the wing moving faster on the top surface of the wing than on the bottom. This causes a drop in air pressure on the top which creates a lift force above the wing allowing the plane to fly. The Bernoulli’s Principle applies to birds and other living creatures as well whether they fly through the air or swim in water. Dr. Pakdemirli: We have many applications in the living organism of Bernoulli’s Principle. For example the vast - of fishes like the tuna fish is a good application area. When the tuna fish moves fast, then pressure moves around the body. In the mouth where the - is stopped, the pressure is very high so we need high pressure in the mouth—in the very front end because mouth is -. The tight pressure is needed for taking oxygen easily. And then we have the heart located in the lowest pressure region because the heart will beat when the speed is faster. The heart should beat more easily. It had a bit less pressure so the heart is located in the minimum pressure location point. And the eyes are located in a precise point but there is no pressure variation when the fish moves so that the vision, the image of the fish is not distorted by pressure differences. So we see that tuna fish is designed very well according to the Bernoulli’s Principle.