Abstract
Abstract The combined influence of normal transpiration and tangential movement of a porous surface on the unsteady separated stagnation-point flow and heat transfer of a viscous fluid is studied. This study is based on five physical parameters, namely (i) flow strength parameter a, (ii) suction/injection parameter d, (iii) plate velocity parameter λ, (iv) unsteadiness parameter β, and (v) Prandtl number Pr. This analysis shows an interesting relation β = 2a which allows us to derive some closed-form analytic solutions depending upon the unlikely values of d. For suction d > 0, two attached flow solutions (AFS) without point of inflection are found in the range (−ad2/4−3<λ<−3), whereas for λ > −3 only one solution of the same type is found for any given value of d. Besides them, the numerical computations reveal two types of AFS—one without and the other with a point of inflection in the range (−1.24658 ≤λ≤ −1.07) when d = β = 0. The present analysis confirms the nonexistence of the second attached flow solution after a certain value of suction d depending upon the choice of the values of λ in this range. A reverse flow solution (RFS) along with the above two solutions is found for a negative value of β which continues even for large rate of suction d. The asymptotic solutions of this flow problem have also been derived for large values of d which provide with the exact results after a certain value of d depending upon the values of the other parameters.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.