Mathematical Problems in Engineering

Research Article

An Axisymmetric Squeezing Fluid Flow between the Two Infinite Parallel Plates in a Porous Medium Channel

Table 1

FunctionTransformed function
𝐾 ( 𝑧 ) = 𝛼 𝐾 1 ( 𝑧 ) ± 𝛽 𝐾 2 ( 𝑧 ) 𝐾 ( 𝑟 ) = 𝛼 𝐾 1 ( 𝑟 ) ± 𝛽 𝐾 2 ( 𝑟 )
𝐾 ( 𝑧 ) = 𝐹 ( 𝑚 ) ( 𝑧 ) 𝐾 ( 𝑟 ) = ( ( 𝑚 + 𝑟 ) ! / 𝑟 ! ) 𝐹 ( 𝑚 + 𝑟 )
𝐾 ( 𝑧 ) = 𝐾 1 ( 𝑧 ) 𝐾 2 ( 𝑧 ) ∑ 𝐾 ( 𝑟 ) = 𝑟 𝑛 = 0 𝐾 1 ( 𝑛 ) 𝐾 2 ( 𝑟 − 𝑛 )
𝐾 ( 𝑧 ) = 𝑧 𝑚 𝐾 ( 𝑟 ) = 𝛿 ( 𝑟 − 𝑚 ) , 𝛿 ( 𝑝 ) = 1 , 𝑝 = 0 0 , 𝑝 ≠ 0
𝐾 ( 𝑧 ) = 𝐾 1 ( 𝑧 ) 𝐾 2 ( 𝑧 ) ⋯ 𝐾 𝑚 ( 𝑧 ) ∑ 𝐺 ( 𝑟 ) = 𝑟 𝑙 𝑚 − 1 = 0 ∑ 𝑙 𝑚 − 1 𝑙 𝑚 − 2 = 0 ⋯ ∑ 𝑙 3 𝑙 2 = 0 ∑ 𝑙 2 𝑙 1 = 0 { 𝐾 1 ( 𝑙 1 ) 𝐾 2 ( 𝑙 2 − 𝑙 1 ) ⋯ 𝐾 𝑚 ( 𝑟 − 𝑙 𝑚 − 1 )