Characteristic of heat transfer in flow of Cross nanofluid during melting process

M Ali, M Shahzad, F Sultan, WA Khan, SZH Shah - Applied Nanoscience, 2020 - Springer
This struggle is part of a responsible method for the development of nanoscience and
nanotechnology inspect closely of nanofluid. The conformist melting phenomena for steady …

C-matrix and invariants in chemical kinetics: a mathematical concept

M Shahzad, F Sultan, I Haq, M Ali, WA Khan - Pramana, 2019 - Springer
To treat a realistic chemical system, such as a liquid phase dehydrogenation reaction, a
chemical scheme, which describes the chemical kinetics in terms of the small number of …

Slow invariant manifold assessments in multi-route reaction mechanism

M Shahzad, F Sultan, M Ali, WA Khan, M Irfan - Journal of Molecular Liquids, 2019 - Elsevier
A complex chemical scheme is need to reduce their complexity without losing their key
features. A chemical reaction scheme has braked down in different available reaction routes …

Physical assessments on chemically reacting species and reduction schemes for the approximation of invariant manifolds

M Shahzad, F Sultan, SIA Shah, M Ali, HA Khan… - Journal of Molecular …, 2019 - Elsevier
We have simplified the complex chemical reaction by reducing it from a high dimension to a
low dimension to observe the behavior of participating species near the equilibrium point …

[HTML][HTML] The reaction routes comparison with respect to slow invariant manifold and equilibrium points

F Sultan, M Shahzad, M Ali, WA Khan - AIP Advances, 2019 - pubs.aip.org
Mathematically, complex chemical reactions can be simplified by “model reduction,” that is,
the rigorous way of approximating and representing a complex model in simplified form …

Slow invariant manifolds and its approximation in a multi-route reaction mechanism: a case study of iodized H2/O mechanism

F Sultan, WA Khan, M Ali, M Shahzad, F Khan… - Journal of Molecular …, 2019 - Elsevier
To reduce the complexity of the reaction mechanism, we need to split down the complex
mechanism in different available reaction routes by using Horiuti rule. However, the model …

Slow Manifolds in Chemical Kinetics.

M Shahzad, F Sultan, A Wahab… - Journal of the …, 2016 - search.ebscohost.com
Modelling the chemical system, especially for complex and higher dimensional problems,
gives an easy way to handle the ongoing reaction process with respect to time. Here, we will …

Activation energy characteristics of chemically reacting species in multi-route complex reaction mechanism

F Sultan, WA Khan, M Shahzad, M Ali… - Indian Journal of …, 2020 - Springer
The multi-route reversible inhomogeneous chemical reaction involving seven chemical
species is deliberated. To inspect the behavior of the common species, their activation …

Evaluation of steady-state to identify the fast-slow completion-route in the multi-route reaction mechanism

M Ali, S Hamza, D Aldila, F Sultan, S Mustafa… - Applied …, 2020 - Springer
The multi-route reversible chemical scheme involves several chemical species and needs to
inspect their behavior, activation energy, and the transition period before attaining …

Computational analysis of the slow invariant manifold for single and multi-route reaction mechanisms

M Shahzad, M Ali, F Sultan… - Scientia …, 2020 - scientiairanica.sharif.edu
The complexity behavior lies in many natural phenomena's, such as our ecosystems, the
earth's climate, the behavior of the animal group, living cells and our brain. Therefore, a new …