title: Closed form solutions for unsteady free convection flow of a second grade fluid over an oscillating vertical plate.
abstract: Closed form solutions for unsteady free convection flows of a second grade fluid near an isothermal vertical plate oscillating in its plane using the Laplace transform technique are established. Expressions for velocity and temperature are obtained and displayed graphically for different values of Prandtl number Pr, thermal Grashof number Gr, viscoelastic parameter α, phase angle ωτ and time τ. Numerical values of skin friction τ 0 and Nusselt number Nu are shown in tables. Some well-known solutions in literature are reduced as the limiting cases of the present solutions.
authors.affiliation: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru Johor, Malaysia.
authors.forename: Farhad
authors.initials: F
authors.lastname: Ali
authors.affiliation: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru Johor, Malaysia ; College of Engineering Majmaah University, Majmaah, Kingdom of Saudi Arabia.
authors.forename: Ilyas
authors.initials: I
authors.lastname: Khan
authors.affiliation: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru Johor, Malaysia.
authors.forename: Sharidan
authors.initials: S
authors.lastname: Shafie
mesh_terms: D018481:Convection; D017276:Friction; D007700:Kinetics; D009991:Oscillometry / Q000295:instrumentation*; D012212:Rheology; D012879:Skin Physiological Phenomena; D012996:Solutions; D013696:Temperature
chemical_list: D012996:Solutions