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This article investigates the linear stability of thermal-bioconvection within a suspension containing phototactic microorganisms heated from below. In suspension, the upper surface is taken as stress-free, while the lower surface is taken…

Fluid Dynamics · Physics 2023-11-29 Sandeep Kumar , Shaowei Wang

In this article, thermal bioconvection in a rotating phototactic medium is analyzed with a stress-free top and rigid upper boundary. The suspension rotates with a uniform angular velocity around a vertical axis. Utilizing MATLAB's bvp$4$c…

Fluid Dynamics · Physics 2023-12-06 Sandeep Kumar , Shaowei Wang

In this investigation, we explore the thermal effects on a suspension containing isotropic scattering phototactic microorganisms. The setup involves illuminating the suspension with collimated irradiation from the top, coupled with heating…

Soft Condensed Matter · Physics 2023-12-08 S. K. Rajput

This study investigates the linear stability of phototactic bioconvection in a rotating porous medium under collimated light, incorporating the effects of critical intensity, Darcy number, and Taylor number. Using a mathematical model and…

Fluid Dynamics · Physics 2025-02-14 Sandeep Kumar , Suneet Singh

This study investigates thermal phototactic bioconvection in an isotropic porous medium using the Darcy-Brinkman model. The top boundary of the medium is exposed to normal collimated light and subjected to heating. A linear analysis of…

Dynamical Systems · Mathematics 2025-02-21 S. K. Rajput , M. K. Panda , A. Rathi

In this study, we investigate the impact of heating or cooling in a suspension experiencing phototactic bioconvection. The suspension is illuminated by collimated irradiation from the top and subjected to heating or cooling from the bottom.…

Dynamical Systems · Mathematics 2023-12-01 S. K. Rajput , M. K. Panda

The linear stability of a suspension of phototactic algae is investigated numerically with particular emphasis on the effects of the angle of incidence of the illuminating oblique collimated irradiation with thermal effects. The suspension…

Dynamical Systems · Mathematics 2024-03-12 S. K. Rajput , M. K. Panda

In this study, our focus is mainly to check the effect of light scattering on the onset of thermal-phototactic-bioconvection in an algal suspension where the suspension is illuminated by the collimated oblique irradiation from above while…

Dynamical Systems · Mathematics 2024-03-12 S. K. Rajput , M. K. Panda

The primary objective of this article is to explore how rotation influences the initiation of phototactic bioconvection. This investigation is conducted through the application of linear stability theory to a suspension composed of…

Soft Condensed Matter · Physics 2023-09-21 S. K. Rajput

Phototaxis, the process by which living organisms navigate toward optimal light conditions, is essential for motile photosynthetic microorganisms. Positive(negative) phototaxis denotes the motion directed towards(away from) the source of…

Biological Physics · Physics 2025-07-01 A. Rathi , M. K. Panda , S. K. Rajput

The onset of light-induced bioconvection via linear stability theory is investigated qualitatively for a suspension of phototactic algae. The forward scattering algal suspension is uniformly illuminated by both diffuse and oblique…

Dynamical Systems · Mathematics 2023-03-17 M. K. Panda , S. K. Rajput

Bioconvection induced by phototaxis and thermal gradients in an anisotropic (forward) scattering algal suspension is investigated in this article. The suspension is illuminated by collimated irradiation from above and heated either from top…

Biological Physics · Physics 2025-07-01 S. K. Rajput , M. K. Panda , A. Rathi

In this study, we investigate the effects of oblique collimated irradiation on the onset of phototaxis-driven bioconvection in an isotropic porous medium. A linear stability analysis is conducted to assess the system's stability under fixed…

Soft Condensed Matter · Physics 2025-03-14 S. K. Rajput , M. K. Panda

The linear stability of a finite-depth algal suspension is investigated numerically with particular emphasis on the effects of angle of incidence. The suspension of phototactic algae is uniformly illuminated by both diffuse and oblique…

Dynamical Systems · Mathematics 2023-01-25 M. K. Panda , Shubham Kumar Rajput

In this study, we analyze the bioconvection in a suspension of phototactic algae that exhibits anisotropic scattering. The top layer of the suspension is illuminated by oblique collimated irradiation. During the study, the bottom boundary…

Dynamical Systems · Mathematics 2023-03-07 Sandeep Kumar , Preeti Sharma

The impact of rotation on the bio-convective instability in a phototactic algal suspension is investigated through a linear stability analysis in this article. The study primarily focuses on the suspension's phototactic behavior, which…

Dynamical Systems · Mathematics 2023-06-27 S. K. Rajput

This article explores how a rigid top surface with diffuse and oblique collimated irradiation affect isotropic scattering algal suspensions. When the fluid flow becomes zero, the suspension reaches a steady (basic) state where up-and-down…

Dynamical Systems · Mathematics 2023-03-28 S. K. Rajput

The effect of the rigid top surface on the onset of phototactic bioconvection is investigated using linear stability theory for a suspension of forward-scattering phototactic algae in this article. The suspension is uniformly illuminated by…

Dynamical Systems · Mathematics 2023-04-11 S. K. Rajput

Phototaxis is the movement of microorganisms towards or away from light. In presence of dim (intense) light, microorganisms move towards (away from) the light sources, which is known as positive (negative) phototaxis. In this study, we…

Soft Condensed Matter · Physics 2023-02-23 Shubham Kumar Rajput

In this study, we aim to explore the behavior of microorganisms in response to natural lighting conditions, considering the off-normal angles at which the sun strikes the Earth's surface. To achieve this, we investigate the effect of…

Soft Condensed Matter · Physics 2023-08-09 S. K. Rajput
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