Michael Christopher Wendl is a mathematician and biomedical engineer who has worked on DNA sequencing theory, covering and matching problems in probability, theoretical fluid mechanics, and co-wrote Phred. He was a scientist on the Human Genome Project and has done bioinformatics and biostatistics work in cancer. Wendl is of ethnic German heritage and is the son of the aerospace engineer Michael J. Wendl.
Research Work
Theoretical Fluid Mechanics The problem of low Reynolds number flow in the gap between 2 infinite cylinders, so-called Couette flow, was solved in 1845 by Stokes. Wendl reported the generalization of this solution for finite-length cylinders, which can actually be built for experimental work, in 1999, as a series of modified Bessel functions I 1 {\displaystyle I_{1}} and K 1 {\displaystyle K_{1}} . He also examined a variety of other low Reynolds number rotational devices and shear-driven devices, including a general form of the unsteady disk flow problem, for which the velocity profile is:
u ( r , z , t ) = ℜ ( e i σ t [ r ⋅ sinh ( 1 + i ) β z sinh ( 1 + i ) β ϕ ] + 2 ϕ ∑ j = 1 ∞ ( − 1 ) j ⋅ α j 2 ⋅ sin ( α j z ) ⋅ I 1 ( i R σ + α j 2 r ) ( i R σ + α j 2 ) ⋅ I 1 ( i R σ + α j 2 ) ) {\displaystyle u(r,z,t)=\Re \left(e^{i\sigma t}\left[{\frac {r\cdot \sinh(1+i)\beta z}{\sinh(1+i)\beta \phi }}\right]+{\frac {2}{\phi }}\sum _{j=1}^{\infty }{\frac {(-1)^{j}\cdot \alpha _{j}^{2}\cdot \sin(\alpha _{j}z)\cdot I_{1}\left({\sqrt {iR\sigma +\alpha _{j}^{2}}}r\right)}{(iR\sigma +\alpha _{j}^{2})\cdot I_{1}\left({\sqrt {iR\sigma +\alpha _{j}^{2}}}\right)}}\right)}
where σ {\displaystyle \sigma } , R {\displaystyle R} , β {\displaystyle \beta } , and ϕ {\displaystyle \phi } are physical parameters, α j {\displaystyle \alpha _{j}} are eigen-values, and ( r , z , t ) {\displaystyle (r,z,t)} are coordinates. This result united prior-published special cases for steady flow, infinite disks, etc.
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