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The viscoelastic materials are a famous subclass of non-Newtonian fluids that present novel applications in various industrial processes. The most famous applications of viscoelastic fluid are observed in polymer processing. A major activity of the polymer processing industry is the production of thermoplastic polymer sheets and films. However, due to distinct rheology, a complete understanding of such materials is quite necessary for the polymer process. This continuation presents the rheological features of viscoelastic fluid with heat transfer phenomenon near the oblique stagnation point flow. The induced flow is accounted via stretched cylinder. The heat transfer analysis is also taken in the presence of non-linear heat flux. The problem is formulated using cylindrical coordinates in terms of non-linear coupled partial differential equations. Similarity transformation and normalized variables are used to convert the governing system into a set of ordinary differential equations. Due to the highly nonlinear model, the analytical solution of the system seems to be impossible therefore the approximate solution is obtained using the numerically stable and convergent finite difference method known as the Keller Box scheme. The simulated data via numerical algorithm is verified after comparing with already published investigations. The streamlines for the flow problem are presented. [ABSTRACT FROM AUTHOR]

In this paper, using the q -Jackson integral and some elements of the q -harmonic analysis associated with the q -Hankel transform, we introduce and study the q -analogue of the Hankel–Stockwell transform. We give some harmonic analysis properties (Plancherel formula, inversion formula, reproduicing kernel , ...). Furthermore, we establish a version of Heisenberg's uncertainty principles. Last, we study the q -Hankel–Stockwell transform on subset of finite measure. [ABSTRACT FROM AUTHOR]