The article Oscillations of retaining wall subject to Grob’s swelling pressure was published in Scientific Reports (Nature), the 5th most cited journal.
This paper considers the single-degree-of-freedom nonlinear problem describing the essential dynamics of an oscillating retaining wall based on non-quaking ground and subject to Grob’s swelling pressure. Swelling pressure caused by expansive soils such as clay or soft rock causes significant vibrations in structures, leading to damage and economic loss. Predicting swelling pressure’s effect on structures is an important problem in mechanical and civil engineering.
Bachelor graduates NU in Mathematics Aizhan Tulendinova as a research assistant become co-author along with Maksim Kozlov, teaching fellow at NU Center for Preparatory Studies, Jong Kim, professor NU SEDS, Grant Ellis, professor at Seattle Pacific University, and Piotr Skrzypacz, Associate professor at NU SSH.
Alua Kadyrbek, a bachelor’s graduates NU in Mathematics, took part in the research and publication Dead-core solutions to fast diffusion–reaction equation for catalyst slabs with power-law reaction kinetics and external mass transfer resistance. The article was published in Chemical Engineering Journal, ranked 4 out of 166 in Chemical Engineering. Among the authors are Vsevolod V. Andreev, Professor at Chuvash State University, Boris Golman, Associate professor at NU SEDS, and Piotr Skrzypacz, Associate professor at NU SSH.
This paper investigates semi-analytic approaches to solve a two-point boundary value problem for nonlinear fast diffusion–reaction equation for catalytic slabs with external mass resistance.
The nonlinear reaction-diffusion equations belong to the immanent research topics related to such areas in chemical reaction engineering as heterogeneous reactions in catalyst pellets and the design and operation of chemical reactors. Solutions to such problems are affected by process parameters, reaction kinetics, and the morphology of catalyst pellets. In this work, researchers investigate dead-core phenomena that occur in a single reaction having power-law kinetics of fractional order in a porous catalyst slab where the diffusion flux does not obey Fick’s law. The term “dead core” characterizes a region where no chemical reaction occurs due to the lack of reactants.
Aizhan Tulendinova is now a Master’s Program of Applied Mathematics student at NU SSH. Alua Kadyrbek is a Master’s student in the Erasmus program in Europe.
